Cremona's table of elliptic curves

Curve 121264n4

121264 = 24 · 11 · 13 · 53



Data for elliptic curve 121264n4

Field Data Notes
Atkin-Lehner 2- 11- 13- 53+ Signs for the Atkin-Lehner involutions
Class 121264n Isogeny class
Conductor 121264 Conductor
∏ cp 6 Product of Tamagawa factors cp
Δ 98178544797462272 = 28 · 113 · 13 · 536 Discriminant
Eigenvalues 2-  2  0  4 11- 13-  6 -2 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,-141908,-13956436] [a1,a2,a3,a4,a6]
j 1234546478847250000/383509940615087 j-invariant
L 6.047008458371 L(r)(E,1)/r!
Ω 0.25195867060284 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 16 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 30316b4 Quadratic twists by: -4


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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