Cremona's table of elliptic curves

11352 = 2³ · 3 · 11 · 43

Field	Data	Notes
Atkin-Lehner	2- 3+ 11+ 43+	Signs for the Atkin-Lehner involutions
Class	11352h	Isogeny class
Conductor	11352	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-37113956352 = -1 · 211 · 34 · 112 · 432	Discriminant
Eigenvalues	2- 3+  4 -4 11+  4 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1376,22188]	[a1,a2,a3,a4,a6]
j	-140787677378/18122049	j-invariant
L	2.2410214029422	L(r)(E,1)/r!
Ω	1.1205107014711	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	22704q2 90816bo2 34056k2 124872j2	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 11352h2

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
-	+	4	-4	+	4	-2	4	4	6	-4	-4	6	+	0	2	4	2	4	-6	6	-6	4	-6	-6

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Quadratic twists for elliptic curve 11352h2

-4	8	-3	-11
22704q2	90816bo2	34056k2	124872j2

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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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