Cremona's table of elliptic curves

7315 = 5 · 7 · 11 · 19

Field	Data	Notes
Atkin-Lehner	5- 7- 11+ 19-	Signs for the Atkin-Lehner involutions
Class	7315f	Isogeny class
Conductor	7315	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	959699989950625 = 54 · 74 · 116 · 192	Discriminant
Eigenvalues	1  0 5- 7- 11+ -6 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-29149,-1195920]	[a1,a2,a3,a4,a6]
j	2739069635877610281/959699989950625	j-invariant
L	1.5035633226178	L(r)(E,1)/r!
Ω	0.37589083065444	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	117040bz2 65835y2 36575d2 51205e2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 7315f2

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	-	-	+	-6	-6	-	8	10	-4	-10	-2	-4	-8	6	0	6	16	12	-14	16	4	-6	2

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Quadratic twists for elliptic curve 7315f2

-4	-3	5	-7	-11
117040bz2	65835y2	36575d2	51205e2	80465j2

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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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