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	11088ca	Isogeny class
Conductor	11088	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	13772288031473664 = 214 · 310 · 76 · 112	Discriminant
Eigenvalues	2- 3- -2 7- 11- -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-362451,83798930]	[a1,a2,a3,a4,a6]
Generators	[-233:12474:1]	Generators of the group modulo torsion
j	1763535241378513/4612311396	j-invariant
L	4.0769155949221	L(r)(E,1)/r!
Ω	0.39806271876902	Real period
R	0.85349104606968	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	1386b2 44352ej2 3696q2 77616gh2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 11088ca2

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

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Quadratic twists for elliptic curve 11088ca2

-4	8	-3	-7	-11
1386b2	44352ej2	3696q2	77616gh2	121968eg2

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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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