Atkin-Lehner |
3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
117975cn |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
266112 |
Modular degree for the optimal curve |
Δ |
15674993173125 = 32 · 54 · 118 · 13 |
Discriminant |
Eigenvalues |
0 3- 5- 0 11- 13- -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-22183,1249969] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:1588:1] |
Generators of the group modulo torsion |
j |
9011200/117 |
j-invariant |
L |
6.6782128961188 |
L(r)(E,1)/r! |
Ω |
0.70048716826619 |
Real period |
R |
4.7668345549629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027133 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117975e1 117975ck1 |
Quadratic twists by: 5 -11 |