Atkin-Lehner |
2- 5+ 23+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
95450k |
Isogeny class |
Conductor |
95450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-362918796875000000 = -1 · 26 · 512 · 234 · 83 |
Discriminant |
Eigenvalues |
2- 3 5+ -1 -1 4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-241755,54220747] |
[a1,a2,a3,a4,a6] |
Generators |
[-807:211990:27] |
Generators of the group modulo torsion |
j |
-100006538833738809/23226803000000 |
j-invariant |
L |
19.029494551454 |
L(r)(E,1)/r! |
Ω |
0.28838186828878 |
Real period |
R |
2.7494641417636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19090c1 |
Quadratic twists by: 5 |