Cremona's table of elliptic curves

7995 = 3 · 5 · 13 · 41

Field	Data	Notes
Atkin-Lehner	3+ 5+ 13+ 41-	Signs for the Atkin-Lehner involutions
Class	7995a	Isogeny class
Conductor	7995	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1920	Modular degree for the optimal curve
Δ	-14750775 = -1 · 33 · 52 · 13 · 412	Discriminant
Eigenvalues	-1 3+ 5+  4  0 13+ -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-61,-286]	[a1,a2,a3,a4,a6]
j	-25128011089/14750775	j-invariant
L	0.83165779401333	L(r)(E,1)/r!
Ω	0.83165779401333	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	127920bu1 23985l1 39975v1 103935d1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 7995a1

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

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Quadratic twists for elliptic curve 7995a1

-4	-3	5	13
127920bu1	23985l1	39975v1	103935d1

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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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