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	2125569964041216 = 210 · 310 · 74 · 114	Discriminant
Eigenvalues	2+ 3-  2 7- 11+ -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-33339,-754630]	[a1,a2,a3,a4,a6]
Generators	[-107:1260:1]	Generators of the group modulo torsion
j	5489767279588/2847396321	j-invariant
L	5.2210635471431	L(r)(E,1)/r!
Ω	0.37390756359869	Real period
R	1.7454392660892	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	5544g3 44352ey4 3696g3 77616bs4	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 11088v3

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 11088v3

-4	8	-3	-7	-11
5544g3	44352ey4	3696g3	77616bs4	121968bj4

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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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