Cremona's table of elliptic curves

11792 = 2⁴ · 11 · 67

Field	Data	Notes
Atkin-Lehner	2- 11+ 67+	Signs for the Atkin-Lehner involutions
Class	11792a	Isogeny class
Conductor	11792	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	26880	Modular degree for the optimal curve
Δ	-18036617555968 = -1 · 212 · 114 · 673	Discriminant
Eigenvalues	2- -2 -2  2 11+ -2  7 -3	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,6491,37395]	[a1,a2,a3,a4,a6]
j	7382979842048/4403471083	j-invariant
L	0.84339899676523	L(r)(E,1)/r!
Ω	0.42169949838262	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	737a1 47168h1 106128bs1 129712r1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 11792a1

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
-	-2	-2	2	+	-2	7	-3	7	-9	2	-9	4	6	1	6	7	6	+	0	-11	16	-12	15	-16

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Quadratic twists for elliptic curve 11792a1

-4	8	-3	-11
737a1	47168h1	106128bs1	129712r1

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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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