Cremona's table of elliptic curves

129150 = 2 · 3² · 5² · 7 · 41

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 7+ 41-	Signs for the Atkin-Lehner involutions
Class	129150cb	Isogeny class
Conductor	129150	Conductor
∏ cp	336	Product of Tamagawa factors cp
deg	87091200	Modular degree for the optimal curve
Δ	6.624593501772E+27	Discriminant
Eigenvalues	2- 3+ 5+ 7+  0 -2  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-535809755,2730416004747]	[a1,a2,a3,a4,a6]
Generators	[-20365:2289618:1]	Generators of the group modulo torsion
j	40324757989623572705294907/15702740152348449751040	j-invariant
L	10.734448539767	L(r)(E,1)/r!
Ω	0.038403563692134	Real period
R	3.3275831765992	Regulator
r	1	Rank of the group of rational points
S	1.0000000123753	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	129150c3 25830e1	Quadratic twists by: -3 5

Hecke Eigenvalues for elliptic curve 129150cb1

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
-	+	+	+	0	-2	6	2	0	0	-10	-8	-	-8	-6	6	0	8	10	-6	10	8	6	-18	10

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Quadratic twists for elliptic curve 129150cb1

-3	5
129150c3	25830e1

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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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