Cremona's table of elliptic curves

Curve 21054j2

21054 = 2 · 3 · 112 · 29



Data for elliptic curve 21054j2

Field Data Notes
Atkin-Lehner 2+ 3+ 11- 29- Signs for the Atkin-Lehner involutions
Class 21054j Isogeny class
Conductor 21054 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ 4.0133988228597E+19 Discriminant
Eigenvalues 2+ 3+  4  0 11- -2 -2 -2 Hecke eigenvalues for primes up to 20
Equation [1,1,0,-3474638,2472793140] [a1,a2,a3,a4,a6]
Generators [151355:58803830:1] Generators of the group modulo torsion
j 2618764779527817409/22654590064128 j-invariant
L 4.173040343833 L(r)(E,1)/r!
Ω 0.20516169013143 Real period
R 5.0850628364872 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 63162ch2 1914i2 Quadratic twists by: -3 -11


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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