Cremona's table of elliptic curves

5795 = 5 · 19 · 61

Field	Data	Notes
Atkin-Lehner	5+ 19+ 61+	Signs for the Atkin-Lehner involutions
Class	5795a	Isogeny class
Conductor	5795	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	1767475 = 52 · 19 · 612	Discriminant
Eigenvalues	-1  0 5+  4  2  4  2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-108,452]	[a1,a2,a3,a4,a6]
Generators	[8:3:1]	Generators of the group modulo torsion
j	138108241809/1767475	j-invariant
L	2.6794576759844	L(r)(E,1)/r!
Ω	2.6571947882486	Real period
R	1.0083783423911	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	92720s2 52155g2 28975a2 110105a2	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 5795a2

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	0	+	4	2	4	2	+	-4	0	-8	-10	-6	4	-6	-6	4	+	-12	12	-2	0	6	8	-16

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Quadratic twists for elliptic curve 5795a2

-4	-3	5	-19
92720s2	52155g2	28975a2	110105a2

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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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