Cremona's table of elliptic curves

29040 = 2⁴ · 3 · 5 · 11²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 11-	Signs for the Atkin-Lehner involutions
Class	29040by	Isogeny class
Conductor	29040	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	11514150912000 = 221 · 3 · 53 · 114	Discriminant
Eigenvalues	2- 3+ 5+  1 11- -1 -3  1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-31016,2106480]	[a1,a2,a3,a4,a6]
Generators	[4:1408:1]	Generators of the group modulo torsion
j	55025549689/192000	j-invariant
L	4.0977232691954	L(r)(E,1)/r!
Ω	0.71947192227137	Real period
R	0.47462163363037	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	3630i2 116160iu2 87120fn2 29040cb2	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 29040by2

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
-	+	+	1	-	-1	-3	1	-6	3	4	-1	0	4	-6	6	6	-10	-2	15	-4	10	-3	12	8

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Quadratic twists for elliptic curve 29040by2

-4	8	-3	-11
3630i2	116160iu2	87120fn2	29040cb2

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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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