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	4560d	Isogeny class
Conductor	4560	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	378963360000 = 28 · 38 · 54 · 192	Discriminant
Eigenvalues	2+ 3+ 5-  0 -4 -2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2820,50400]	[a1,a2,a3,a4,a6]
Generators	[-55:190:1]	Generators of the group modulo torsion
j	9691367618896/1480325625	j-invariant
L	3.2655213120948	L(r)(E,1)/r!
Ω	0.91221965536911	Real period
R	1.7898766447723	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	2280i2 18240ch2 13680m2 22800bc2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4560d2

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
+	+	-	0	-4	-2	2	-	0	6	0	6	-6	-4	-8	6	12	-2	-4	-8	-6	-16	4	-6	10

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Quadratic twists for elliptic curve 4560d2

-4	8	-3	5	-19
2280i2	18240ch2	13680m2	22800bc2	86640bb2

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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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