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	760b	Isogeny class
Conductor	760	Conductor
∏ cp	28	Product of Tamagawa factors cp
Δ	7220000000 = 28 · 57 · 192	Discriminant
Eigenvalues	2+ -2 5-  4  4 -4 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-416660,-103658192]	[a1,a2,a3,a4,a6]
j	31248575021659890256/28203125	j-invariant
L	1.3153824873321	L(r)(E,1)/r!
Ω	0.18791178390459	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	1520c2 6080d2 6840q2 3800d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 760b2

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

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Quadratic twists for elliptic curve 760b2

-4	8	-3	5	-7	-11	13	-19
1520c2	6080d2	6840q2	3800d2	37240e2	91960be2	128440v2	14440l2

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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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