Cremona's table of elliptic curves

2950 = 2 · 5² · 59

Field	Data	Notes
Atkin-Lehner	2- 5- 59+	Signs for the Atkin-Lehner involutions
Class	2950s	Isogeny class
Conductor	2950	Conductor
∏ cp	14	Product of Tamagawa factors cp
Δ	-3374442691280000 = -1 · 27 · 54 · 596	Discriminant
Eigenvalues	2-  1 5- -4  3  2 -3 -7	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,14387,-2713583]	[a1,a2,a3,a4,a6]
Generators	[10272:200243:27]	Generators of the group modulo torsion
j	526929531334175/5399108306048	j-invariant
L	5.0914144674801	L(r)(E,1)/r!
Ω	0.22007792800671	Real period
R	1.6524713098525	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	23600bg2 94400bk2 26550bg2 2950c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2950s2

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	2	-3	-7	0	-6	-10	2	-3	-4	6	6	+	8	5	-6	-7	-10	9	9	-10

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Quadratic twists for elliptic curve 2950s2

-4	8	-3	5
23600bg2	94400bk2	26550bg2	2950c2

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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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