Cremona's table of elliptic curves

4560 = 2⁴ · 3 · 5 · 19

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 19-	Signs for the Atkin-Lehner involutions
Class	4560q	Isogeny class
Conductor	4560	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	53760	Modular degree for the optimal curve
Δ	-482262292616970240 = -1 · 240 · 35 · 5 · 192	Discriminant
Eigenvalues	2- 3+ 5+ -4  0  2 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,58824,32937840]	[a1,a2,a3,a4,a6]
Generators	[1261:45942:1]	Generators of the group modulo torsion
j	5495662324535111/117739817533440	j-invariant
L	2.5780248806373	L(r)(E,1)/r!
Ω	0.22078605711871	Real period
R	5.8382873318201	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	570d1 18240cq1 13680bx1 22800dj1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4560q1

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
-	+	+	-4	0	2	-2	-	0	10	0	2	2	4	0	-6	-8	6	-12	0	-14	0	12	10	2

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Quadratic twists for elliptic curve 4560q1

-4	8	-3	5	-19
570d1	18240cq1	13680bx1	22800dj1	86640ds1

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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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