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	5390l	Isogeny class
Conductor	5390	Conductor
∏ cp	60	Product of Tamagawa factors cp
deg	9120	Modular degree for the optimal curve
Δ	-3631512500 = -1 · 22 · 55 · 74 · 112	Discriminant
Eigenvalues	2+ -3 5- 7+ 11+ -6 -8 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-499,5305]	[a1,a2,a3,a4,a6]
Generators	[642:-2491:27] [-24:67:1]	Generators of the group modulo torsion
j	-5729578281/1512500	j-invariant
L	2.6481496140561	L(r)(E,1)/r!
Ω	1.3334265755302	Real period
R	0.033099555469249	Regulator
r	2	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	43120ch1 48510cp1 26950bv1 5390e1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5390l1

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
+	-3	-	+	+	-6	-8	-4	-7	-9	-6	-2	3	-1	-8	-2	-6	-5	1	4	8	10	9	1	0

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Quadratic twists for elliptic curve 5390l1

-4	-3	5	-7	-11
43120ch1	48510cp1	26950bv1	5390e1	59290du1

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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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