Cremona's table of elliptic curves

3795 = 3 · 5 · 11 · 23

Field	Data	Notes
Atkin-Lehner	3- 5- 11+ 23+	Signs for the Atkin-Lehner involutions
Class	3795i	Isogeny class
Conductor	3795	Conductor
∏ cp	108	Product of Tamagawa factors cp
deg	39744	Modular degree for the optimal curve
Δ	-16307642215915875 = -1 · 318 · 53 · 114 · 23	Discriminant
Eigenvalues	0 3- 5- -1 11+ -4  3 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-420835,105118306]	[a1,a2,a3,a4,a6]
Generators	[350:907:1]	Generators of the group modulo torsion
j	-8242525516078490484736/16307642215915875	j-invariant
L	3.5794983397534	L(r)(E,1)/r!
Ω	0.39179489435816	Real period
R	0.76134613443968	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	60720by1 11385i1 18975b1 41745bb1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 3795i1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
0	-	-	-1	+	-4	3	-4	+	9	11	-7	-9	-4	6	-9	9	-10	-13	-9	-4	-16	-15	12	14

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Quadratic twists for elliptic curve 3795i1

-4	-3	5	-11	-23
60720by1	11385i1	18975b1	41745bb1	87285r1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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