Cremona's table of elliptic curves

Curve 121296bd2

121296 = 24 · 3 · 7 · 192



Data for elliptic curve 121296bd2

Field Data Notes
Atkin-Lehner 2+ 3- 7- 19+ Signs for the Atkin-Lehner involutions
Class 121296bd Isogeny class
Conductor 121296 Conductor
∏ cp 112 Product of Tamagawa factors cp
Δ 235156163171328 = 210 · 314 · 7 · 193 Discriminant
Eigenvalues 2+ 3-  0 7-  0  2  0 19+ Hecke eigenvalues for primes up to 20
Equation [0,1,0,-16688,-385308] [a1,a2,a3,a4,a6]
Generators [-104:486:1] Generators of the group modulo torsion
j 73181591500/33480783 j-invariant
L 9.620714740247 L(r)(E,1)/r!
Ω 0.43869643128823 Real period
R 0.78322258952418 Regulator
r 1 Rank of the group of rational points
S 1.0000000002335 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 60648a2 121296h2 Quadratic twists by: -4 -19


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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