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	5390u	Isogeny class
Conductor	5390	Conductor
∏ cp	162	Product of Tamagawa factors cp
deg	18144	Modular degree for the optimal curve
Δ	98213761676800 = 29 · 52 · 78 · 113	Discriminant
Eigenvalues	2-  1 5+ 7+ 11- -1  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-14456,-470464]	[a1,a2,a3,a4,a6]
Generators	[-94:292:1]	Generators of the group modulo torsion
j	57954303169/17036800	j-invariant
L	6.1641522792364	L(r)(E,1)/r!
Ω	0.44522955394804	Real period
R	0.76916031598833	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	43120x1 48510bg1 26950f1 5390bi1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5390u1

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	+	+	-	-1	0	2	-6	-9	-4	-4	12	-10	-12	6	3	-7	-13	0	14	17	6	-6	5

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Quadratic twists for elliptic curve 5390u1

-4	-3	5	-7	-11
43120x1	48510bg1	26950f1	5390bi1	59290c1

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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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