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	4356a	Isogeny class
Conductor	4356	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	-609700608 = -1 · 28 · 39 · 112	Discriminant
Eigenvalues	2- 3+  0  1 11- -2  0  1	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,0,1188]	[a1,a2,a3,a4,a6]
Generators	[12:54:1]	Generators of the group modulo torsion
j	0	j-invariant
L	3.78999122788	L(r)(E,1)/r!
Ω	1.2925765369648	Real period
R	0.48868688745498	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	17424bb2 69696e2 4356a1 108900g2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4356a2

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	1	-	-2	0	1	0	0	-7	-1	0	-8	0	0	0	13	5	0	7	-17	0	0	-19

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Quadratic twists for elliptic curve 4356a2

-4	8	-3	5	-11
17424bb2	69696e2	4356a1	108900g2	4356b2

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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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