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	20880bn	Isogeny class
Conductor	20880	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	304128	Modular degree for the optimal curve
Δ	-3.5548162261254E+19	Discriminant
Eigenvalues	2- 3+ 5-  2 -2  0  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,651213,203406066]	[a1,a2,a3,a4,a6]
Generators	[207:18630:1]	Generators of the group modulo torsion
j	378827638483293/440926208000	j-invariant
L	5.9102917843117	L(r)(E,1)/r!
Ω	0.13758898893869	Real period
R	3.5796782806419	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	2610b1 83520dp1 20880bi1 104400cv1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 20880bn1

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

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Quadratic twists for elliptic curve 20880bn1

-4	8	-3	5
2610b1	83520dp1	20880bi1	104400cv1

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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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