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	20880bt	Isogeny class
Conductor	20880	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	15360	Modular degree for the optimal curve
Δ	-51372630000 = -1 · 24 · 311 · 54 · 29	Discriminant
Eigenvalues	2- 3- 5+  3 -3  1  3  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1713,29387]	[a1,a2,a3,a4,a6]
Generators	[-14:225:1]	Generators of the group modulo torsion
j	-47659369216/4404375	j-invariant
L	5.4593993258305	L(r)(E,1)/r!
Ω	1.0990356939291	Real period
R	1.2418612416292	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	5220i1 83520gi1 6960bd1 104400dz1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 20880bt1

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
-	-	+	3	-3	1	3	6	-4	+	4	-4	-2	-4	-3	-6	-10	-4	9	-12	4	-14	6	-7	-14

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Quadratic twists for elliptic curve 20880bt1

-4	8	-3	5
5220i1	83520gi1	6960bd1	104400dz1

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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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