Cremona's table of elliptic curves

20880 = 2⁴ · 3² · 5 · 29

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 29+	Signs for the Atkin-Lehner involutions
Class	20880bv	Isogeny class
Conductor	20880	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-11879604840960000 = -1 · 212 · 38 · 54 · 294	Discriminant
Eigenvalues	2- 3- 5+  4  0  6 -2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-56163,-7331038]	[a1,a2,a3,a4,a6]
Generators	[773597:16643718:1331]	Generators of the group modulo torsion
j	-6561258219361/3978455625	j-invariant
L	5.791527224455	L(r)(E,1)/r!
Ω	0.15088855405103	Real period
R	9.5957033667649	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	1305c4 83520gl3 6960be4 104400ef3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 20880bv4

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

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Quadratic twists for elliptic curve 20880bv4

-4	8	-3	5
1305c4	83520gl3	6960be4	104400ef3

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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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