Cremona's table of elliptic curves

Curve 24297d1

24297 = 3 · 7 · 13 · 89



Data for elliptic curve 24297d1

Field Data Notes
Atkin-Lehner 3- 7- 13- 89+ Signs for the Atkin-Lehner involutions
Class 24297d Isogeny class
Conductor 24297 Conductor
∏ cp 12 Product of Tamagawa factors cp
deg 17472 Modular degree for the optimal curve
Δ -27063918063 = -1 · 32 · 7 · 136 · 89 Discriminant
Eigenvalues -1 3- -2 7-  0 13- -4  4 Hecke eigenvalues for primes up to 20
Equation [1,0,0,-2184,-40257] [a1,a2,a3,a4,a6]
j -1152110255377537/27063918063 j-invariant
L 1.0461004993825 L(r)(E,1)/r!
Ω 0.34870016646086 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 72891g1 Quadratic twists by: -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
Back to Tables and computations