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	1030b	Isogeny class
Conductor	1030	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	420	Modular degree for the optimal curve
Δ	-257500000 = -1 · 25 · 57 · 103	Discriminant
Eigenvalues	2+  0 5+ -2 -3 -5  6  6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-80,-800]	[a1,a2,a3,a4,a6]
j	-57022169049/257500000	j-invariant
L	0.72374619693806	L(r)(E,1)/r!
Ω	0.72374619693806	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	8240g1 32960i1 9270y1 5150k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1030b1

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	+	-2	-3	-5	6	6	4	8	8	-4	1	6	-9	12	-4	10	-10	2	-11	-1	3	12	-16

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Quadratic twists for elliptic curve 1030b1

-4	8	-3	5	-7	-11	-103
8240g1	32960i1	9270y1	5150k1	50470c1	124630t1	106090d1

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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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