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	4	Product of Tamagawa factors cp
deg	1440	Modular degree for the optimal curve
Δ	-765314352 = -1 · 24 · 33 · 116	Discriminant
Eigenvalues	2- 3+  0  4 11- -2  0 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,0,-1331]	[a1,a2,a3,a4,a6]
Generators	[443:9324:1]	Generators of the group modulo torsion
j	0	j-invariant
L	4.0710554419721	L(r)(E,1)/r!
Ω	0.73226572235424	Real period
R	5.5595329914988	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	17424be1 69696o1 4356c3 108900n1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4356c1

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 4356c1

-4	8	-3	5	-11
17424be1	69696o1	4356c3	108900n1	36a1

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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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