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	13920r	Isogeny class
Conductor	13920	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-1395118080 = -1 · 212 · 34 · 5 · 292	Discriminant
Eigenvalues	2- 3+ 5+  0 -2 -6  4  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-321,2961]	[a1,a2,a3,a4,a6]
Generators	[8:29:1]	Generators of the group modulo torsion
j	-895841344/340605	j-invariant
L	3.3143800209537	L(r)(E,1)/r!
Ω	1.427888259011	Real period
R	1.16058802222	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	13920z2 27840dv1 41760i2 69600s2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 13920r2

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	-2	-6	4	2	0	-	-6	8	-2	0	8	-6	0	14	-4	4	4	10	-4	6	8

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Quadratic twists for elliptic curve 13920r2

-4	8	-3	5
13920z2	27840dv1	41760i2	69600s2

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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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