Cremona's table of elliptic curves

113344 = 2⁶ · 7 · 11 · 23

Field	Data	Notes
Atkin-Lehner	2- 7+ 11- 23-	Signs for the Atkin-Lehner involutions
Class	113344di	Isogeny class
Conductor	113344	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	192544101105664 = 222 · 73 · 11 · 233	Discriminant
Eigenvalues	2-  1 -3 7+ 11- -5  0  5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-973057,369125119]	[a1,a2,a3,a4,a6]
Generators	[-879:23368:1] [639:2944:1]	Generators of the group modulo torsion
j	388686162930440257/734497456	j-invariant
L	10.891685085471	L(r)(E,1)/r!
Ω	0.48595602109854	Real period
R	1.8677419033466	Regulator
r	2	Rank of the group of rational points
S	0.99999999999985	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	113344ba2 28336q2	Quadratic twists by: -4 8

Hecke Eigenvalues for elliptic curve 113344di2

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
-	1	-3	+	-	-5	0	5	-	6	-8	4	-9	-10	-3	0	-12	-14	-13	-6	11	10	3	-3	17

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Quadratic twists for elliptic curve 113344di2

-4	8
113344ba2	28336q2

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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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