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	11760q	Isogeny class
Conductor	11760	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	-9762344605440000 = -1 · 211 · 33 · 54 · 710	Discriminant
Eigenvalues	2+ 3+ 5- 7- -4  2  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,36440,-3940208]	[a1,a2,a3,a4,a6]
Generators	[264:4900:1]	Generators of the group modulo torsion
j	22208984782/40516875	j-invariant
L	4.1384203015322	L(r)(E,1)/r!
Ω	0.21393709798569	Real period
R	1.2090061577963	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	5880p4 47040gf3 35280bo3 58800dn3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11760q4

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	6	0	0	-6	0	-6	10	0	-12	-6	-4	-2	-8	4	-10	0	12	10	14

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Quadratic twists for elliptic curve 11760q4

-4	8	-3	5	-7
5880p4	47040gf3	35280bo3	58800dn3	1680g4

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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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