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	4356b	Isogeny class
Conductor	4356	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-1080121818809088 = -1 · 28 · 39 · 118	Discriminant
Eigenvalues	2- 3+  0 -1 11-  2  0 -1	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,0,-1581228]	[a1,a2,a3,a4,a6]
Generators	[75705:1856439:125]	Generators of the group modulo torsion
j	0	j-invariant
L	3.6427638984737	L(r)(E,1)/r!
Ω	0.22500869369817	Real period
R	8.094718116448	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	17424ba2 69696f2 4356b1 108900e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4356b2

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 4356b2

-4	8	-3	5	-11
17424ba2	69696f2	4356b1	108900e2	4356a2

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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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