Cremona's table of elliptic curves

129360 = 2⁴ · 3 · 5 · 7² · 11

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 7- 11-	Signs for the Atkin-Lehner involutions
Class	129360cy	Isogeny class
Conductor	129360	Conductor
∏ cp	125	Product of Tamagawa factors cp
deg	1152000	Modular degree for the optimal curve
Δ	1534107405600000 = 28 · 35 · 55 · 72 · 115	Discriminant
Eigenvalues	2+ 3- 5- 7- 11-  1  0  6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-615785,185776275]	[a1,a2,a3,a4,a6]
Generators	[430:-825:1]	Generators of the group modulo torsion
j	2058617635951442944/122298103125	j-invariant
L	10.794258819153	L(r)(E,1)/r!
Ω	0.45132123229603	Real period
R	0.19133615713525	Regulator
r	1	Rank of the group of rational points
S	1.0000000038465	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	64680g1 129360c1	Quadratic twists by: -4 -7

Hecke Eigenvalues for elliptic curve 129360cy1

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	0	6	-3	7	0	-2	-3	-11	5	9	0	-10	4	-10	-2	4	12	-2	-8

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Quadratic twists for elliptic curve 129360cy1

-4	-7
64680g1	129360c1

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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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