Cremona's table of elliptic curves

4355 = 5 · 13 · 67

Field	Data	Notes
Atkin-Lehner	5- 13- 67-	Signs for the Atkin-Lehner involutions
Class	4355d	Isogeny class
Conductor	4355	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	292	Modular degree for the optimal curve
Δ	-4355 = -1 · 5 · 13 · 67	Discriminant
Eigenvalues	2 -1 5-  0  3 13- -6  8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,0,3]	[a1,a2,a3,a4,a6]
j	-4096/4355	j-invariant
L	3.5246235773636	L(r)(E,1)/r!
Ω	3.5246235773636	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	69680bd1 39195o1 21775b1 56615c1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 4355d1

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
2	-1	-	0	3	-	-6	8	-2	2	3	9	6	11	-1	3	6	-6	-	0	13	0	4	-6	-2

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Quadratic twists for elliptic curve 4355d1

-4	-3	5	13
69680bd1	39195o1	21775b1	56615c1

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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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