Cremona's table of elliptic curves

795 = 3 · 5 · 53

Field	Data	Notes
Atkin-Lehner	3+ 5+ 53+	Signs for the Atkin-Lehner involutions
Class	795a	Isogeny class
Conductor	795	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	632025 = 32 · 52 · 532	Discriminant
Eigenvalues	1 3+ 5+  4 -4 -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-53,-168]	[a1,a2,a3,a4,a6]
Generators	[56:392:1]	Generators of the group modulo torsion
j	16954786009/632025	j-invariant
L	2.4330443997791	L(r)(E,1)/r!
Ω	1.7691471665755	Real period
R	2.7505279896966	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	12720z2 50880bt2 2385i2 3975j2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 795a2

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	-2	-2	4	-8	-10	-8	-2	6	0	-8	+	4	-10	-12	12	6	-8	12	-6	18

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Quadratic twists for elliptic curve 795a2

-4	8	-3	5	-7	-11	53
12720z2	50880bt2	2385i2	3975j2	38955q2	96195a2	42135k2

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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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