Cremona's table of elliptic curves

1020 = 2² · 3 · 5 · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 17+	Signs for the Atkin-Lehner involutions
Class	1020c	Isogeny class
Conductor	1020	Conductor
∏ cp	21	Product of Tamagawa factors cp
deg	504	Modular degree for the optimal curve
Δ	-63750000 = -1 · 24 · 3 · 57 · 17	Discriminant
Eigenvalues	2- 3+ 5- -3  3 -4 17+  1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1230,17025]	[a1,a2,a3,a4,a6]
Generators	[20:-5:1]	Generators of the group modulo torsion
j	-12872772702976/3984375	j-invariant
L	2.1701249903558	L(r)(E,1)/r!
Ω	1.922929518093	Real period
R	0.053740547577386	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	4080bd1 16320x1 3060j1 5100n1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1020c1

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	3	-4	+	1	-4	-3	-8	3	5	-8	-9	-7	-6	8	2	-16	9	-14	-8	2	14

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Quadratic twists for elliptic curve 1020c1

-4	8	-3	5	-7	-11	17
4080bd1	16320x1	3060j1	5100n1	49980z1	123420t1	17340l1

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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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