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	4356j	Isogeny class
Conductor	4356	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-43564913358633216 = -1 · 28 · 38 · 1110	Discriminant
Eigenvalues	2- 3- -3 -2 11- -5 -3  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-48007839,-128031357674]	[a1,a2,a3,a4,a6]
j	-2527934627152/9	j-invariant
L	0.51619527475419	L(r)(E,1)/r!
Ω	0.028677515264122	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	9	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	17424cd2 69696dd2 1452f2 108900cc2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4356j2

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
-	-	-3	-2	-	-5	-3	4	-6	-9	8	-7	-3	10	-12	9	6	-14	2	6	10	-8	0	3	-1

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Quadratic twists for elliptic curve 4356j2

-4	8	-3	5	-11
17424cd2	69696dd2	1452f2	108900cc2	4356i2

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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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