Atkin-Lehner |
2+ 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
69192z |
Isogeny class |
Conductor |
69192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11059200 |
Modular degree for the optimal curve |
Δ |
-2.1604970192484E+23 |
Discriminant |
Eigenvalues |
2+ 3- -3 5 4 2 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8092581,-20532880721] |
[a1,a2,a3,a4,a6] |
Generators |
[281767773:15194691013:103823] |
Generators of the group modulo torsion |
j |
5661965297408/20870651079 |
j-invariant |
L |
6.6088245050805 |
L(r)(E,1)/r! |
Ω |
0.050721448093496 |
Real period |
R |
8.1435279767596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999124 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23064o1 2232e1 |
Quadratic twists by: -3 -31 |