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	13920u	Isogeny class
Conductor	13920	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	290649600 = 29 · 33 · 52 · 292	Discriminant
Eigenvalues	2- 3+ 5+ -2  2 -4  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-336,2340]	[a1,a2,a3,a4,a6]
Generators	[-16:58:1]	Generators of the group modulo torsion
j	8217949832/567675	j-invariant
L	3.3280599823438	L(r)(E,1)/r!
Ω	1.6976313608149	Real period
R	0.98020691039372	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	13920m2 27840cc2 41760n2 69600v2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 13920u2

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	2	-4	6	0	-4	-	2	-2	-12	12	0	-2	0	0	4	0	-6	-2	6	4	14

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Quadratic twists for elliptic curve 13920u2

-4	8	-3	5
13920m2	27840cc2	41760n2	69600v2

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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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