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	4368w	Isogeny class
Conductor	4368	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1920	Modular degree for the optimal curve
Δ	-1479389184 = -1 · 212 · 34 · 73 · 13	Discriminant
Eigenvalues	2- 3- -1 7+  2 13- -4 -3	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-421,-3949]	[a1,a2,a3,a4,a6]
j	-2019487744/361179	j-invariant
L	2.0872066033053	L(r)(E,1)/r!
Ω	0.52180165082633	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	273a1 17472bp1 13104bw1 109200dm1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4368w1

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	-	-4	-3	9	-1	5	-8	6	9	3	3	0	10	2	-12	5	13	11	1	1

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Quadratic twists for elliptic curve 4368w1

-4	8	-3	5	-7	13
273a1	17472bp1	13104bw1	109200dm1	30576bp1	56784cw1

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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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