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	1450f	Isogeny class
Conductor	1450	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	432	Modular degree for the optimal curve
Δ	-1812500 = -1 · 22 · 56 · 29	Discriminant
Eigenvalues	2-  3 5+  2 -1 -3  4 -8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-30,97]	[a1,a2,a3,a4,a6]
j	-185193/116	j-invariant
L	4.8885738303874	L(r)(E,1)/r!
Ω	2.4442869151937	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	11600w1 46400y1 13050m1 58a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1450f1

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
-	3	+	2	-1	-3	4	-8	0	+	3	8	-2	-7	-11	-1	-4	4	4	-2	12	-7	0	-6	6

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Quadratic twists for elliptic curve 1450f1

-4	8	-3	5	-7	29
11600w1	46400y1	13050m1	58a1	71050bw1	42050j1

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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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