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	5390w	Isogeny class
Conductor	5390	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	1440	Modular degree for the optimal curve
Δ	-30356480 = -1 · 210 · 5 · 72 · 112	Discriminant
Eigenvalues	2-  1 5+ 7- 11+  2  4 -8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1,265]	[a1,a2,a3,a4,a6]
Generators	[6:19:1]	Generators of the group modulo torsion
j	-2401/619520	j-invariant
L	6.1450186215948	L(r)(E,1)/r!
Ω	1.6639038253093	Real period
R	0.18465666489025	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	43120bt1 48510bt1 26950l1 5390bd1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5390w1

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	+	-	+	2	4	-8	-1	-9	-2	-2	1	1	-8	2	6	5	-13	-16	4	-14	1	-1	8

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Quadratic twists for elliptic curve 5390w1

-4	-3	5	-7	-11
43120bt1	48510bt1	26950l1	5390bd1	59290n1

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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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