Cremona's table of elliptic curves

4368 = 2⁴ · 3 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 13+	Signs for the Atkin-Lehner involutions
Class	4368q	Isogeny class
Conductor	4368	Conductor
∏ cp	14	Product of Tamagawa factors cp
deg	26880	Modular degree for the optimal curve
Δ	-48623511854002176 = -1 · 212 · 38 · 77 · 133	Discriminant
Eigenvalues	2- 3+  1 7-  2 13+  0 -1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,40635,10116333]	[a1,a2,a3,a4,a6]
Generators	[108:3969:1]	Generators of the group modulo torsion
j	1811564780171264/11870974573731	j-invariant
L	3.5105813133274	L(r)(E,1)/r!
Ω	0.2592740310321	Real period
R	0.96714586916639	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	273b1 17472da1 13104ca1 109200fh1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4368q1

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
-	+	1	-	2	+	0	-1	-3	-5	-9	0	2	1	-3	-9	0	-2	-10	12	15	-11	-3	-17	3

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Quadratic twists for elliptic curve 4368q1

-4	8	-3	5	-7	13
273b1	17472da1	13104ca1	109200fh1	30576cw1	56784bf1

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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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