Cremona's table of elliptic curves

27600 = 2⁴ · 3 · 5² · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 23+	Signs for the Atkin-Lehner involutions
Class	27600cq	Isogeny class
Conductor	27600	Conductor
∏ cp	80	Product of Tamagawa factors cp
Δ	8.7328125E+19	Discriminant
Eigenvalues	2- 3- 5+  4 -4 -6  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-12053408,-16104676812]	[a1,a2,a3,a4,a6]
Generators	[-1988:2142:1]	Generators of the group modulo torsion
j	3026030815665395929/1364501953125	j-invariant
L	7.1664180412337	L(r)(E,1)/r!
Ω	0.081027761412939	Real period
R	4.4221992044872	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	1725g4 110400fy4 82800eq4 5520q3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 27600cq4

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

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Quadratic twists for elliptic curve 27600cq4

-4	8	-3	5
1725g4	110400fy4	82800eq4	5520q3

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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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