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	3795b	Isogeny class
Conductor	3795	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	960	Modular degree for the optimal curve
Δ	1043625 = 3 · 53 · 112 · 23	Discriminant
Eigenvalues	-1 3+ 5+  4 11- -4  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-176,824]	[a1,a2,a3,a4,a6]
Generators	[-4:40:1]	Generators of the group modulo torsion
j	603136942849/1043625	j-invariant
L	2.0244798590054	L(r)(E,1)/r!
Ω	2.7676481023332	Real period
R	1.462960451727	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	60720cc1 11385m1 18975q1 41745i1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 3795b1

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
-1	+	+	4	-	-4	0	2	-	-4	-8	-10	4	8	-8	14	0	-12	-4	0	0	14	-14	10	-2

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Quadratic twists for elliptic curve 3795b1

-4	-3	5	-11	-23
60720cc1	11385m1	18975q1	41745i1	87285l1

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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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