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	11088bh	Isogeny class
Conductor	11088	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	7807419518976 = 212 · 38 · 74 · 112	Discriminant
Eigenvalues	2- 3-  2 7+ 11+  6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-5619,90610]	[a1,a2,a3,a4,a6]
Generators	[-33:490:1]	Generators of the group modulo torsion
j	6570725617/2614689	j-invariant
L	5.1991191695867	L(r)(E,1)/r!
Ω	0.67236926240358	Real period
R	1.9331338671703	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	693d2 44352ea2 3696w2 77616fk2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 11088bh2

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	+	+	6	-2	-4	0	2	-8	6	-10	4	-8	-6	4	-10	12	0	2	-16	4	-18	2

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Quadratic twists for elliptic curve 11088bh2

-4	8	-3	-7	-11
693d2	44352ea2	3696w2	77616fk2	121968fv2

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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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