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	2950a	Isogeny class
Conductor	2950	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-44682768687500 = -1 · 22 · 56 · 595	Discriminant
Eigenvalues	2+  1 5+ -3  2  6  2 -5	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,2874,-315852]	[a1,a2,a3,a4,a6]
Generators	[63:309:1]	Generators of the group modulo torsion
j	168105213359/2859697196	j-invariant
L	2.7501538264086	L(r)(E,1)/r!
Ω	0.31201659473305	Real period
R	4.4070633947556	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	23600u2 94400t2 26550cd2 118b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2950a2

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	+	-3	2	6	2	-5	-4	-5	2	-8	7	6	2	-9	+	-8	2	12	-4	5	-14	0	-8

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Quadratic twists for elliptic curve 2950a2

-4	8	-3	5
23600u2	94400t2	26550cd2	118b2

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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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