Atkin-Lehner |
2+ 3- 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
117576f |
Isogeny class |
Conductor |
117576 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.2591953209286E+21 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13898199,-19869575830] |
[a1,a2,a3,a4,a6] |
Generators |
[32375706314275970:7084418183623647360:671991189479] |
Generators of the group modulo torsion |
j |
1590859390591004429392/6747231443590089 |
j-invariant |
L |
6.1178023746653 |
L(r)(E,1)/r! |
Ω |
0.078211522153249 |
Real period |
R |
19.555310182224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000118576 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39192g2 |
Quadratic twists by: -3 |