Cremona's table of elliptic curves

1430 = 2 · 5 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2+ 5- 11+ 13-	Signs for the Atkin-Lehner involutions
Class	1430d	Isogeny class
Conductor	1430	Conductor
∏ cp	18	Product of Tamagawa factors cp
Δ	-6424482779000 = -1 · 23 · 53 · 113 · 136	Discriminant
Eigenvalues	2+  1 5- -1 11+ 13- -3 -7	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,3887,-78212]	[a1,a2,a3,a4,a6]
Generators	[122:1427:1]	Generators of the group modulo torsion
j	6497225437879799/6424482779000	j-invariant
L	2.4026841474258	L(r)(E,1)/r!
Ω	0.40948779071785	Real period
R	2.9337677482566	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	11440u2 45760g2 12870bv2 7150o2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1430d2

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
+	1	-	-1	+	-	-3	-7	0	-3	5	-7	0	-10	12	-9	-6	-1	-4	15	2	8	-6	3	8

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Quadratic twists for elliptic curve 1430d2

-4	8	-3	5	-7	-11	13
11440u2	45760g2	12870bv2	7150o2	70070a2	15730x2	18590k2

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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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