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	1450d	Isogeny class
Conductor	1450	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	840	Modular degree for the optimal curve
Δ	-1450000000 = -1 · 27 · 58 · 29	Discriminant
Eigenvalues	2+  0 5-  0 -2  4  6 -8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-992,12416]	[a1,a2,a3,a4,a6]
Generators	[19:3:1]	Generators of the group modulo torsion
j	-276531705/3712	j-invariant
L	2.0411260180848	L(r)(E,1)/r!
Ω	1.5189475119217	Real period
R	0.44792551027706	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	11600bc1 46400ba1 13050bp1 1450g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1450d1

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	-2	4	6	-8	-2	-	-1	-7	2	4	-9	-12	-15	11	-3	-6	12	8	8	-16	2

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Quadratic twists for elliptic curve 1450d1

-4	8	-3	5	-7	29
11600bc1	46400ba1	13050bp1	1450g1	71050bg1	42050bg1

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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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