Cremona's table of elliptic curves

Curve 10944v1

10944 = 26 · 32 · 19



Data for elliptic curve 10944v1

Field Data Notes
Atkin-Lehner 2+ 3- 19+ Signs for the Atkin-Lehner involutions
Class 10944v Isogeny class
Conductor 10944 Conductor
∏ cp 2 Product of Tamagawa factors cp
deg 6144 Modular degree for the optimal curve
Δ -2042413056 = -1 · 214 · 38 · 19 Discriminant
Eigenvalues 2+ 3- -3  1 -5  6  5 19+ Hecke eigenvalues for primes up to 20
Equation [0,0,0,96,-2144] [a1,a2,a3,a4,a6]
j 8192/171 j-invariant
L 1.4293059748683 L(r)(E,1)/r!
Ω 0.71465298743414 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 10944cp1 684c1 3648m1 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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