Cremona's table of elliptic curves

510 = 2 · 3 · 5 · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 17+	Signs for the Atkin-Lehner involutions
Class	510c	Isogeny class
Conductor	510	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	80	Modular degree for the optimal curve
Δ	-1404540 = -1 · 22 · 35 · 5 · 172	Discriminant
Eigenvalues	2- 3+ 5+  2  0  4 17+  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,14,59]	[a1,a2,a3,a4,a6]
j	302111711/1404540	j-invariant
L	1.936112318383	L(r)(E,1)/r!
Ω	1.936112318383	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	4080z1 16320bj1 1530h1 2550m1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 510c1

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

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Quadratic twists for elliptic curve 510c1

-4	8	-3	5	-7	-11	13	17
4080z1	16320bj1	1530h1	2550m1	24990ch1	61710g1	86190n1	8670ba1

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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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