Cremona's table of elliptic curves

11094 = 2 · 3 · 43²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 43+	Signs for the Atkin-Lehner involutions
Class	11094a	Isogeny class
Conductor	11094	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	6336	Modular degree for the optimal curve
Δ	-25038980496 = -1 · 24 · 39 · 433	Discriminant
Eigenvalues	2+ 3+  1  1  3 -1 -2  1	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,48,7632]	[a1,a2,a3,a4,a6]
Generators	[-4:88:1]	Generators of the group modulo torsion
j	148877/314928	j-invariant
L	3.253680751114	L(r)(E,1)/r!
Ω	0.93648931891767	Real period
R	0.86858458644098	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	88752ba1 33282v1 11094o1	Quadratic twists by: -4 -3 -43

Hecke Eigenvalues for elliptic curve 11094a1

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
+	+	1	1	3	-1	-2	1	0	1	-6	8	-4	+	3	0	4	10	2	-14	-2	-4	-9	-10	-7

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Quadratic twists for elliptic curve 11094a1

-4	-3	-43
88752ba1	33282v1	11094o1

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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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