Cremona's table of elliptic curves

Curve 3243a4

3243 = 3 · 23 · 47



Data for elliptic curve 3243a4

Field Data Notes
Atkin-Lehner 3+ 23+ 47- Signs for the Atkin-Lehner involutions
Class 3243a Isogeny class
Conductor 3243 Conductor
∏ cp 2 Product of Tamagawa factors cp
Δ 305306328935961 = 324 · 23 · 47 Discriminant
Eigenvalues -1 3+  2 -4 -4 -2 -6 -4 Hecke eigenvalues for primes up to 20
Equation [1,1,1,-16837,12746] [a1,a2,a3,a4,a6]
j 527860858731041233/305306328935961 j-invariant
L 0.23090693606632 L(r)(E,1)/r!
Ω 0.46181387213263 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 51888v3 9729b3 81075t3 74589h3 Quadratic twists by: -4 -3 5 -23


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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