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	4368o	Isogeny class
Conductor	4368	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	1221083136 = 214 · 32 · 72 · 132	Discriminant
Eigenvalues	2- 3+  2 7+  4 13+  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-432,-2880]	[a1,a2,a3,a4,a6]
j	2181825073/298116	j-invariant
L	2.1129573010389	L(r)(E,1)/r!
Ω	1.0564786505194	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	546g2 17472cu2 13104bt2 109200gl2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4368o2

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	+	4	+	6	4	0	-6	8	10	-6	-4	-4	10	-4	-6	8	0	-10	8	-4	-6	-2

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Quadratic twists for elliptic curve 4368o2

-4	8	-3	5	-7	13
546g2	17472cu2	13104bt2	109200gl2	30576dc2	56784cb2

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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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