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	1430f	Isogeny class
Conductor	1430	Conductor
∏ cp	44	Product of Tamagawa factors cp
Δ	19662500000000000 = 211 · 514 · 112 · 13	Discriminant
Eigenvalues	2-  2 5+  4 11- 13- -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-124091,15361609]	[a1,a2,a3,a4,a6]
j	211322034896126991409/19662500000000000	j-invariant
L	4.125311106921	L(r)(E,1)/r!
Ω	0.37502828244736	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	11440k2 45760q2 12870v2 7150i2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1430f2

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

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Quadratic twists for elliptic curve 1430f2

-4	8	-3	5	-7	-11	13
11440k2	45760q2	12870v2	7150i2	70070cj2	15730d2	18590g2

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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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