Cremona's table of elliptic curves

Curve 27456bo3

27456 = 26 · 3 · 11 · 13



Data for elliptic curve 27456bo3

Field Data Notes
Atkin-Lehner 2- 3+ 11+ 13- Signs for the Atkin-Lehner involutions
Class 27456bo Isogeny class
Conductor 27456 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ -2757670738254102528 = -1 · 221 · 312 · 114 · 132 Discriminant
Eigenvalues 2- 3+ -2 -4 11+ 13-  2 -4 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,343871,-19076255] [a1,a2,a3,a4,a6]
Generators [6616:540189:1] Generators of the group modulo torsion
j 17154149157653327/10519679024712 j-invariant
L 2.5166009293271 L(r)(E,1)/r!
Ω 0.14767985390205 Real period
R 4.2602305982037 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 27456bi3 6864y4 82368fc3 Quadratic twists by: -4 8 -3


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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