Cremona's table of elliptic curves

5390 = 2 · 5 · 7² · 11

Field	Data	Notes
Atkin-Lehner	2- 5- 7- 11+	Signs for the Atkin-Lehner involutions
Class	5390bg	Isogeny class
Conductor	5390	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	25088	Modular degree for the optimal curve
Δ	-59081716008700 = -1 · 22 · 52 · 79 · 114	Discriminant
Eigenvalues	2- -2 5- 7- 11+  6  4  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-27490,1790592]	[a1,a2,a3,a4,a6]
j	-56933326423/1464100	j-invariant
L	2.4952180024165	L(r)(E,1)/r!
Ω	0.62380450060414	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	43120ct1 48510be1 26950n1 5390y1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5390bg1

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	-	-	+	6	4	2	4	-6	0	-2	-8	4	0	-14	6	10	-4	4	-8	4	6	8	8

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Quadratic twists for elliptic curve 5390bg1

-4	-3	5	-7	-11
43120ct1	48510be1	26950n1	5390y1	59290cg1

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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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