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	4368t	Isogeny class
Conductor	4368	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	2304	Modular degree for the optimal curve
Δ	2576351232 = 220 · 33 · 7 · 13	Discriminant
Eigenvalues	2- 3+ -2 7-  4 13- -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-904,10480]	[a1,a2,a3,a4,a6]
j	19968681097/628992	j-invariant
L	1.4357027023335	L(r)(E,1)/r!
Ω	1.4357027023335	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	546c1 17472cw1 13104ck1 109200fe1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4368t1

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	-	-2	4	4	-2	0	-2	2	-4	12	6	0	-10	-4	8	-6	-8	-8	-6	2

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Quadratic twists for elliptic curve 4368t1

-4	8	-3	5	-7	13
546c1	17472cw1	13104ck1	109200fe1	30576co1	56784bl1

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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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