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	5390bc	Isogeny class
Conductor	5390	Conductor
∏ cp	264	Product of Tamagawa factors cp
deg	12672	Modular degree for the optimal curve
Δ	21128800000000 = 211 · 58 · 74 · 11	Discriminant
Eigenvalues	2- -1 5- 7+ 11+  1  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-12300,471085]	[a1,a2,a3,a4,a6]
Generators	[13:553:1]	Generators of the group modulo torsion
j	85713473128801/8800000000	j-invariant
L	4.9996089134452	L(r)(E,1)/r!
Ω	0.66107748868528	Real period
R	0.028647038925182	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	43120ce1 48510l1 26950a1 5390v1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5390bc1

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	2	-4	-4	3	-4	-8	8	-8	2	-10	-9	1	5	2	8	-11	-10	-2	7

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Quadratic twists for elliptic curve 5390bc1

-4	-3	5	-7	-11
43120ce1	48510l1	26950a1	5390v1	59290bg1

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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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