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	760c	Isogeny class
Conductor	760	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	480	Modular degree for the optimal curve
Δ	-351180800 = -1 · 211 · 52 · 193	Discriminant
Eigenvalues	2+  3 5- -1  4  1 -7 19+	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-67,926]	[a1,a2,a3,a4,a6]
j	-16241202/171475	j-invariant
L	2.9030483294009	L(r)(E,1)/r!
Ω	1.4515241647005	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1520e1 6080f1 6840n1 3800f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 760c1

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
+	3	-	-1	4	1	-7	+	-5	7	-2	-6	6	10	-8	-3	5	-8	11	-12	-9	6	14	-6	-2

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Quadratic twists for elliptic curve 760c1

-4	8	-3	5	-7	-11	13	-19
1520e1	6080f1	6840n1	3800f1	37240i1	91960bf1	128440w1	14440n1

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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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