Cremona's table of elliptic curves

29120 = 2⁶ · 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 5+ 7+ 13+	Signs for the Atkin-Lehner involutions
Class	29120bi	Isogeny class
Conductor	29120	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	5632	Modular degree for the optimal curve
Δ	-74547200 = -1 · 215 · 52 · 7 · 13	Discriminant
Eigenvalues	2- -1 5+ 7+ -3 13+ -2  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1,-415]	[a1,a2,a3,a4,a6]
Generators	[8:5:1] [13:-40:1]	Generators of the group modulo torsion
j	-8/2275	j-invariant
L	6.3178337676714	L(r)(E,1)/r!
Ω	0.88692172912499	Real period
R	0.89041591273009	Regulator
r	2	Rank of the group of rational points
S	0.99999999999993	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	29120br1 14560p1	Quadratic twists by: -4 8

Hecke Eigenvalues for elliptic curve 29120bi1

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	+	+	-3	+	-2	2	1	-2	-5	1	-9	-10	-3	-8	-8	-7	3	-12	13	1	-6	-2	-5

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Quadratic twists for elliptic curve 29120bi1

-4	8
29120br1	14560p1

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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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