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	11760o	Isogeny class
Conductor	11760	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1920	Modular degree for the optimal curve
Δ	-4515840 = -1 · 211 · 32 · 5 · 72	Discriminant
Eigenvalues	2+ 3+ 5- 7- -3 -1  0 -7	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,40,-48]	[a1,a2,a3,a4,a6]
Generators	[2:6:1]	Generators of the group modulo torsion
j	68782/45	j-invariant
L	3.9006797223015	L(r)(E,1)/r!
Ω	1.3976307504565	Real period
R	0.69773073485746	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	5880o1 47040gd1 35280bm1 58800dh1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11760o1

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
+	+	-	-	-3	-1	0	-7	5	0	6	3	3	-8	-1	5	-4	8	0	6	14	16	-16	-6	-16

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Quadratic twists for elliptic curve 11760o1

-4	8	-3	5	-7
5880o1	47040gd1	35280bm1	58800dh1	11760u1

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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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