Atkin-Lehner |
2- 7+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
117334m |
Isogeny class |
Conductor |
117334 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
373248 |
Modular degree for the optimal curve |
Δ |
-16326555121324 = -1 · 22 · 73 · 177 · 29 |
Discriminant |
Eigenvalues |
2- 0 -1 7+ -3 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-79963,-8685385] |
[a1,a2,a3,a4,a6] |
Generators |
[12695:1423624:1] |
Generators of the group modulo torsion |
j |
-2342568667041/676396 |
j-invariant |
L |
6.3294870738337 |
L(r)(E,1)/r! |
Ω |
0.14195156696491 |
Real period |
R |
5.5736326022727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033492 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6902d1 |
Quadratic twists by: 17 |