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	160	Product of Tamagawa factors cp
Δ	6.41568329784E+20	Discriminant
Eigenvalues	2- 3- 5+  4 -4 -6  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-6625408,6447651188]	[a1,a2,a3,a4,a6]
Generators	[-2197:102000:1]	Generators of the group modulo torsion
j	502552788401502649/10024505152875	j-invariant
L	7.1664180412337	L(r)(E,1)/r!
Ω	0.16205552282588	Real period
R	4.4221992044872	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	1725g3 110400fy3 82800eq3 5520q4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 27600cq3

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 27600cq3

-4	8	-3	5
1725g3	110400fy3	82800eq3	5520q4

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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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