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	18	Product of Tamagawa factors cp
Δ	7926601375000 = 23 · 56 · 78 · 11	Discriminant
Eigenvalues	2-  1 5+ 7+ 11- -1  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1070896,-426638360]	[a1,a2,a3,a4,a6]
Generators	[-16134:8192:27]	Generators of the group modulo torsion
j	23560326604350529/1375000	j-invariant
L	6.1641522792364	L(r)(E,1)/r!
Ω	0.14840985131601	Real period
R	2.307480947965	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	43120x2 48510bg2 26950f2 5390bi2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5390u2

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 5390u2

-4	-3	5	-7	-11
43120x2	48510bg2	26950f2	5390bi2	59290c2

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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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