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	5390bi	Isogeny class
Conductor	5390	Conductor
∏ cp	18	Product of Tamagawa factors cp
Δ	67375000 = 23 · 56 · 72 · 11	Discriminant
Eigenvalues	2- -1 5- 7- 11-  1  0 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-21855,1234477]	[a1,a2,a3,a4,a6]
Generators	[77:86:1]	Generators of the group modulo torsion
j	23560326604350529/1375000	j-invariant
L	5.0661842562472	L(r)(E,1)/r!
Ω	1.4726102896261	Real period
R	0.1911263848184	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	43120cl2 48510o2 26950v2 5390u2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5390bi2

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 5390bi2

-4	-3	5	-7	-11
43120cl2	48510o2	26950v2	5390u2	59290bw2

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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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