Cremona's table of elliptic curves

760 = 2³ · 5 · 19

Field	Data	Notes
Atkin-Lehner	2+ 5- 19+	Signs for the Atkin-Lehner involutions
Class	760a	Isogeny class
Conductor	760	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	64	Modular degree for the optimal curve
Δ	-7600 = -1 · 24 · 52 · 19	Discriminant
Eigenvalues	2+  2 5-  4 -4  0  6 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,5,0]	[a1,a2,a3,a4,a6]
j	702464/475	j-invariant
L	2.6248441564987	L(r)(E,1)/r!
Ω	2.6248441564987	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	1520d1 6080e1 6840p1 3800e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 760a1

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

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Quadratic twists for elliptic curve 760a1

-4	8	-3	5	-7	-11	13	-19
1520d1	6080e1	6840p1	3800e1	37240g1	91960bc1	128440t1	14440m1

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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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