Cremona's table of elliptic curves

Curve 2726b1

2726 = 2 · 29 · 47



Data for elliptic curve 2726b1

Field Data Notes
Atkin-Lehner 2+ 29+ 47+ Signs for the Atkin-Lehner involutions
Class 2726b Isogeny class
Conductor 2726 Conductor
∏ cp 2 Product of Tamagawa factors cp
deg 216 Modular degree for the optimal curve
Δ -87232 = -1 · 26 · 29 · 47 Discriminant
Eigenvalues 2+ -2  2 -1 -1 -2  2  4 Hecke eigenvalues for primes up to 20
Equation [1,0,1,0,14] [a1,a2,a3,a4,a6]
Generators [1:3:1] Generators of the group modulo torsion
j 12167/87232 j-invariant
L 1.8752115005354 L(r)(E,1)/r!
Ω 2.6802509789882 Real period
R 0.34982013162874 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 21808e1 87232g1 24534v1 68150p1 Quadratic twists by: -4 8 -3 5


Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations