Cremona's table of elliptic curves

5915 = 5 · 7 · 13²

Field	Data	Notes
Atkin-Lehner	5+ 7- 13+	Signs for the Atkin-Lehner involutions
Class	5915a	Isogeny class
Conductor	5915	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	1808663567750585 = 5 · 78 · 137	Discriminant
Eigenvalues	1  0 5+ 7-  0 13+ -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-67040,-6343349]	[a1,a2,a3,a4,a6]
j	6903498885921/374712065	j-invariant
L	1.1908070147286	L(r)(E,1)/r!
Ω	0.29770175368216	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	94640bm4 53235bl4 29575c4 41405l4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5915a3

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

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Quadratic twists for elliptic curve 5915a3

-4	-3	5	-7	13
94640bm4	53235bl4	29575c4	41405l4	455b3

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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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