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	7315b	Isogeny class
Conductor	7315	Conductor
∏ cp	81	Product of Tamagawa factors cp
Δ	-7.1953389578067E+20	Discriminant
Eigenvalues	0 -2 5+ 7- 11-  5  6 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-941451,1337298996]	[a1,a2,a3,a4,a6]
j	-92282071901116472786944/719533895780669921875	j-invariant
L	1.2390401049732	L(r)(E,1)/r!
Ω	0.1376711227748	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	117040bb2 65835bk2 36575e2 51205q2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 7315b2

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	-2	+	-	-	5	6	-	0	6	5	2	12	-1	-3	3	12	-1	5	-12	2	-1	-6	3	8

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Quadratic twists for elliptic curve 7315b2

-4	-3	5	-7	-11
117040bb2	65835bk2	36575e2	51205q2	80465b2

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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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