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	1450c	Isogeny class
Conductor	1450	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-476347656250 = -1 · 2 · 510 · 293	Discriminant
Eigenvalues	2+  2 5+ -2 -6 -2  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-5950,-182250]	[a1,a2,a3,a4,a6]
Generators	[13761:1607433:1]	Generators of the group modulo torsion
j	-2386099825/48778	j-invariant
L	2.5877857344381	L(r)(E,1)/r!
Ω	0.27145940346198	Real period
R	9.5328645883527	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	11600v2 46400w2 13050bk2 1450i2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1450c2

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	+	-2	-6	-2	6	2	0	+	-7	7	-12	-8	-9	6	-9	-1	1	-12	-2	8	0	-6	4

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Quadratic twists for elliptic curve 1450c2

-4	8	-3	5	-7	29
11600v2	46400w2	13050bk2	1450i2	71050p2	42050x2

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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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