Atkin-Lehner |
2- 3- 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
18486x |
Isogeny class |
Conductor |
18486 |
Conductor |
∏ cp |
196 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
1387679939538048 = 27 · 37 · 137 · 79 |
Discriminant |
Eigenvalues |
2- 3- 0 1 0 13- -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-171095,-27137937] |
[a1,a2,a3,a4,a6] |
Generators |
[-241:354:1] |
Generators of the group modulo torsion |
j |
759811318037187625/1903539011712 |
j-invariant |
L |
8.1097024230043 |
L(r)(E,1)/r! |
Ω |
0.23477714059905 |
Real period |
R |
0.17623535521754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6162c1 |
Quadratic twists by: -3 |