Cremona's table of elliptic curves

4356 = 2² · 3² · 11²

Field	Data	Notes
Atkin-Lehner	2- 3+ 11-	Signs for the Atkin-Lehner involutions
Class	4356c	Isogeny class
Conductor	4356	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-557914162608 = -1 · 24 · 39 · 116	Discriminant
Eigenvalues	2- 3+  0  4 11- -2  0 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,0,35937]	[a1,a2,a3,a4,a6]
Generators	[-6:189:1]	Generators of the group modulo torsion
j	0	j-invariant
L	4.0710554419721	L(r)(E,1)/r!
Ω	0.73226572235424	Real period
R	1.8531776638329	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	17424be3 69696o3 4356c1 108900n3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4356c3

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
-	+	0	4	-	-2	0	-8	0	0	-4	-10	0	-8	0	0	0	-14	-16	0	10	4	0	0	14

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Quadratic twists for elliptic curve 4356c3

-4	8	-3	5	-11
17424be3	69696o3	4356c1	108900n3	36a3

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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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