Cremona's table of elliptic curves

1030 = 2 · 5 · 103

Field	Data	Notes
Atkin-Lehner	2- 5+ 103+	Signs for the Atkin-Lehner involutions
Class	1030c	Isogeny class
Conductor	1030	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	321875000 = 23 · 58 · 103	Discriminant
Eigenvalues	2-  0 5+  0  0  6  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-4408,113731]	[a1,a2,a3,a4,a6]
j	9470133471933009/321875000	j-invariant
L	2.4055666057925	L(r)(E,1)/r!
Ω	1.6037110705283	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	8240i3 32960f4 9270g3 5150b4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1030c4

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

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Quadratic twists for elliptic curve 1030c4

-4	8	-3	5	-7	-11	-103
8240i3	32960f4	9270g3	5150b4	50470o4	124630a4	106090m4

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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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