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	5390j	Isogeny class
Conductor	5390	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	396330068750000 = 24 · 58 · 78 · 11	Discriminant
Eigenvalues	2+  2 5+ 7- 11-  0  0  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-41528,-3130672]	[a1,a2,a3,a4,a6]
Generators	[-113:424:1]	Generators of the group modulo torsion
j	67324767141241/3368750000	j-invariant
L	3.7956723496727	L(r)(E,1)/r!
Ω	0.33547501201101	Real period
R	2.8285805304242	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	43120bj2 48510ds2 26950cw2 770d2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5390j2

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
+	2	+	-	-	0	0	0	-4	2	2	-6	-8	-12	6	-6	10	4	-8	-4	4	-16	0	6	-14

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Quadratic twists for elliptic curve 5390j2

-4	-3	5	-7	-11
43120bj2	48510ds2	26950cw2	770d2	59290df2

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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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