Cremona's table of elliptic curves

29880 = 2³ · 3² · 5 · 83

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 83-	Signs for the Atkin-Lehner involutions
Class	29880j	Isogeny class
Conductor	29880	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	4339077984000000 = 211 · 39 · 56 · 832	Discriminant
Eigenvalues	2- 3+ 5+ -2  2 -4  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-7935003,8603372502]	[a1,a2,a3,a4,a6]
Generators	[-273462:467248500:4913]	Generators of the group modulo torsion
j	1370704230598735926/107640625	j-invariant
L	4.6904457115044	L(r)(E,1)/r!
Ω	0.33310682041913	Real period
R	7.0404528277184	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	59760b2 29880c2	Quadratic twists by: -4 -3

Hecke Eigenvalues for elliptic curve 29880j2

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	-4	6	4	0	-6	-4	-4	8	-4	0	-10	2	10	8	4	2	-12	-	0	6

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Quadratic twists for elliptic curve 29880j2

-4	-3
59760b2	29880c2

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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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