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	4368p	Isogeny class
Conductor	4368	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-150083337191424 = -1 · 239 · 3 · 7 · 13	Discriminant
Eigenvalues	2- 3+  3 7+ -3 13- -3  7	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-416904,103750896]	[a1,a2,a3,a4,a6]
Generators	[48580:65536:125]	Generators of the group modulo torsion
j	-1956469094246217097/36641439744	j-invariant
L	3.6261379089514	L(r)(E,1)/r!
Ω	0.53206557965153	Real period
R	1.7038021475314	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	546d3 17472cq3 13104by3 109200gb3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4368p3

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
-	+	3	+	-3	-	-3	7	-9	-9	4	-7	12	1	0	-6	-12	-1	-14	-12	-7	10	6	-6	-10

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Quadratic twists for elliptic curve 4368p3

-4	8	-3	5	-7	13
546d3	17472cq3	13104by3	109200gb3	30576cr3	56784cc3

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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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