Cremona's table of elliptic curves

2150 = 2 · 5² · 43

Field	Data	Notes
Atkin-Lehner	2- 5- 43+	Signs for the Atkin-Lehner involutions
Class	2150r	Isogeny class
Conductor	2150	Conductor
∏ cp	90	Product of Tamagawa factors cp
deg	21600	Modular degree for the optimal curve
Δ	-23667200000000 = -1 · 215 · 58 · 432	Discriminant
Eigenvalues	2- -3 5- -2 -1  2 -3  1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-303930,64568697]	[a1,a2,a3,a4,a6]
Generators	[-31:8615:1]	Generators of the group modulo torsion
j	-7948461006944145/60588032	j-invariant
L	2.7363361168056	L(r)(E,1)/r!
Ω	0.60490269758006	Real period
R	0.050262190518913	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	17200bj1 68800cq1 19350bh1 2150e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2150r1

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	2	-3	1	2	4	0	-8	5	+	-6	-2	-12	8	-3	-6	1	-6	-3	-3	-14

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Quadratic twists for elliptic curve 2150r1

-4	8	-3	5	-7	-43
17200bj1	68800cq1	19350bh1	2150e1	105350dm1	92450s1

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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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