Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
117975bm |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
626999726925 = 32 · 52 · 118 · 13 |
Discriminant |
Eigenvalues |
2 3- 5+ 2 11- 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2218,12139] |
[a1,a2,a3,a4,a6] |
Generators |
[9523450:67390547:125000] |
Generators of the group modulo torsion |
j |
225280/117 |
j-invariant |
L |
18.978481575027 |
L(r)(E,1)/r! |
Ω |
0.80341452957722 |
Real period |
R |
11.811139092615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031245 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117975bg1 117975cf1 |
Quadratic twists by: 5 -11 |