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	13920g	Isogeny class
Conductor	13920	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	222720 = 29 · 3 · 5 · 29	Discriminant
Eigenvalues	2+ 3+ 5-  0  4 -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-4640,-120120]	[a1,a2,a3,a4,a6]
Generators	[5738:152845:8]	Generators of the group modulo torsion
j	21582477031688/435	j-invariant
L	4.6360424656723	L(r)(E,1)/r!
Ω	0.5784452518293	Real period
R	8.014660766963	Regulator
r	1	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	13920bg3 27840bh4 41760u4 69600br4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 13920g2

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	-2	2	4	-4	-	0	-2	-10	-4	-8	6	0	-6	-16	0	6	16	-4	-10	-18

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Quadratic twists for elliptic curve 13920g2

-4	8	-3	5
13920bg3	27840bh4	41760u4	69600br4

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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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