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	12	Product of Tamagawa factors cp
Δ	22510176200 = 23 · 52 · 1034	Discriminant
Eigenvalues	2-  0 5+  0  0  6  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-1288,-15933]	[a1,a2,a3,a4,a6]
j	236132166498129/22510176200	j-invariant
L	2.4055666057925	L(r)(E,1)/r!
Ω	0.80185553526416	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	8240i4 32960f3 9270g4 5150b3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1030c3

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 1030c3

-4	8	-3	5	-7	-11	-103
8240i4	32960f3	9270g4	5150b3	50470o3	124630a3	106090m3

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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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