Cremona's table of elliptic curves

1450 = 2 · 5² · 29

Field	Data	Notes
Atkin-Lehner	2- 5- 29+	Signs for the Atkin-Lehner involutions
Class	1450h	Isogeny class
Conductor	1450	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	-1858822878125000 = -1 · 23 · 58 · 296	Discriminant
Eigenvalues	2-  1 5- -4 -3 -4  3 -7	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,14362,1966892]	[a1,a2,a3,a4,a6]
Generators	[-1698:25238:27]	Generators of the group modulo torsion
j	838699829375/4758586568	j-invariant
L	3.9725874513244	L(r)(E,1)/r!
Ω	0.33871636194993	Real period
R	1.9547266767465	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	11600ba2 46400bg2 13050x2 1450b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1450h2

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	-	-4	-3	-4	3	-7	6	+	2	-10	-9	8	-6	12	12	-10	5	6	-7	-16	9	-3	2

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Quadratic twists for elliptic curve 1450h2

-4	8	-3	5	-7	29
11600ba2	46400bg2	13050x2	1450b2	71050cj2	42050p2

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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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