Cremona's table of elliptic curves

Curve 21285c2

21285 = 32 · 5 · 11 · 43



Data for elliptic curve 21285c2

Field Data Notes
Atkin-Lehner 3- 5+ 11+ 43+ Signs for the Atkin-Lehner involutions
Class 21285c Isogeny class
Conductor 21285 Conductor
∏ cp 32 Product of Tamagawa factors cp
Δ 39963195506025 = 310 · 52 · 114 · 432 Discriminant
Eigenvalues  1 3- 5+  0 11+  6  6  4 Hecke eigenvalues for primes up to 20
Equation [1,-1,0,-702405,-226408424] [a1,a2,a3,a4,a6]
j 52572582932532371281/54819198225 j-invariant
L 2.9684187037144 L(r)(E,1)/r!
Ω 0.16491215020635 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 9 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 7095c2 106425j2 Quadratic twists by: -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