Cremona's table of elliptic curves

11760 = 2⁴ · 3 · 5 · 7²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 7-	Signs for the Atkin-Lehner involutions
Class	11760p	Isogeny class
Conductor	11760	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	1581202560000 = 210 · 3 · 54 · 77	Discriminant
Eigenvalues	2+ 3+ 5- 7-  4 -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-22360,1292992]	[a1,a2,a3,a4,a6]
Generators	[-156:980:1]	Generators of the group modulo torsion
j	10262905636/13125	j-invariant
L	4.4461633250201	L(r)(E,1)/r!
Ω	0.8431750066664	Real period
R	1.3182800989911	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	5880bj3 47040gi4 35280br4 58800di4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11760p4

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
+	+	-	-	4	-2	2	0	4	-2	-4	-10	-6	4	-8	-6	-12	-6	12	0	-6	0	-12	-6	10

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Quadratic twists for elliptic curve 11760p4

-4	8	-3	5	-7
5880bj3	47040gi4	35280br4	58800di4	1680f3

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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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