Cremona's table of elliptic curves

126960 = 2⁴ · 3 · 5 · 23²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 23-	Signs for the Atkin-Lehner involutions
Class	126960g	Isogeny class
Conductor	126960	Conductor
∏ cp	512	Product of Tamagawa factors cp
Δ	8.6184644127187E+25	Discriminant
Eigenvalues	2+ 3+ 5-  0  0 -2  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-110929360,52228280992]	[a1,a2,a3,a4,a6]
Generators	[164:184500:1]	Generators of the group modulo torsion
j	497927680189263938/284271240234375	j-invariant
L	6.8754422811473	L(r)(E,1)/r!
Ω	0.051932990552662	Real period
R	4.1372078091214	Regulator
r	1	Rank of the group of rational points
S	0.99999998706285	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	63480t3 5520a3	Quadratic twists by: -4 -23

Hecke Eigenvalues for elliptic curve 126960g3

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

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Quadratic twists for elliptic curve 126960g3

-4	-23
63480t3	5520a3

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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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