Cremona's table of elliptic curves

13920 = 2⁵ · 3 · 5 · 29

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 29-	Signs for the Atkin-Lehner involutions
Class	13920s	Isogeny class
Conductor	13920	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-12615000000000 = -1 · 29 · 3 · 510 · 292	Discriminant
Eigenvalues	2- 3+ 5+  0  4  0 -2  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-30176,-2014824]	[a1,a2,a3,a4,a6]
Generators	[571946965885:-219878311209412:3869893]	Generators of the group modulo torsion
j	-5935443240847112/24638671875	j-invariant
L	3.9865583611264	L(r)(E,1)/r!
Ω	0.18106939762808	Real period
R	22.016742825394	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	13920ba2 27840dx2 41760l2 69600t2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 13920s2

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

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Quadratic twists for elliptic curve 13920s2

-4	8	-3	5
13920ba2	27840dx2	41760l2	69600t2

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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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