Cremona's table of elliptic curves

11088 = 2⁴ · 3² · 7 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 11+	Signs for the Atkin-Lehner involutions
Class	11088v	Isogeny class
Conductor	11088	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	9372807132530688 = 211 · 38 · 78 · 112	Discriminant
Eigenvalues	2+ 3-  2 7- 11+ -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-425379,-106683838]	[a1,a2,a3,a4,a6]
Generators	[-379:308:1]	Generators of the group modulo torsion
j	5701568801608514/6277868289	j-invariant
L	5.2210635471431	L(r)(E,1)/r!
Ω	0.18695378179934	Real period
R	0.8727196330446	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	5544g5 44352ey6 3696g5 77616bs6	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 11088v5

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

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Quadratic twists for elliptic curve 11088v5

-4	8	-3	-7	-11
5544g5	44352ey6	3696g5	77616bs6	121968bj6

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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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