Cremona's table of elliptic curves

Curve 23700s2

23700 = 22 · 3 · 52 · 79



Data for elliptic curve 23700s2

Field Data Notes
Atkin-Lehner 2- 3- 5- 79- Signs for the Atkin-Lehner involutions
Class 23700s Isogeny class
Conductor 23700 Conductor
∏ cp 3 Product of Tamagawa factors cp
Δ 9244481250000 = 24 · 3 · 58 · 793 Discriminant
Eigenvalues 2- 3- 5-  2  0 -1 -3 -1 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-16833,-833412] [a1,a2,a3,a4,a6]
Generators [152:378:1] Generators of the group modulo torsion
j 84402257920/1479117 j-invariant
L 6.8285918119811 L(r)(E,1)/r!
Ω 0.4195839105168 Real period
R 5.4248916929555 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 94800bz2 71100ba2 23700f2 Quadratic twists by: -4 -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