Cremona's table of elliptic curves

5290 = 2 · 5 · 23²

Field	Data	Notes
Atkin-Lehner	2+ 5- 23-	Signs for the Atkin-Lehner involutions
Class	5290c	Isogeny class
Conductor	5290	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	-66125000 = -1 · 23 · 56 · 232	Discriminant
Eigenvalues	2+  1 5-  4  0 -4 -3  1	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,92,-182]	[a1,a2,a3,a4,a6]
Generators	[14:55:1]	Generators of the group modulo torsion
j	165348311/125000	j-invariant
L	3.8245910882933	L(r)(E,1)/r!
Ω	1.0944222742102	Real period
R	0.58243683728832	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	42320x2 47610ca2 26450q2 5290a2	Quadratic twists by: -4 -3 5 -23

Hecke Eigenvalues for elliptic curve 5290c2

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	0	-4	-3	1	-	-6	-4	-2	-6	-11	0	6	3	-8	13	-12	-7	10	9	-6	-14

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Quadratic twists for elliptic curve 5290c2

-4	-3	5	-23
42320x2	47610ca2	26450q2	5290a2

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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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