Atkin-Lehner |
3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
117975v |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8110080 |
Modular degree for the optimal curve |
Δ |
-1.0402072422747E+22 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -1 11- 13- -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,3538242,4184096168] |
[a1,a2,a3,a4,a6] |
Generators |
[1622:119112:1] |
Generators of the group modulo torsion |
j |
12087578624/25666875 |
j-invariant |
L |
1.8710601952604 |
L(r)(E,1)/r! |
Ω |
0.089031893074684 |
Real period |
R |
5.2539043340171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983813 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23595q1 117975i1 |
Quadratic twists by: 5 -11 |