Atkin-Lehner |
2- 7- 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
118286bb |
Isogeny class |
Conductor |
118286 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
297543228416 = 210 · 72 · 174 · 71 |
Discriminant |
Eigenvalues |
2- 0 3 7- 0 0 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3541,77613] |
[a1,a2,a3,a4,a6] |
Generators |
[27:20:1] |
Generators of the group modulo torsion |
j |
100182167887473/6072310784 |
j-invariant |
L |
13.630135310878 |
L(r)(E,1)/r! |
Ω |
0.95554530455643 |
Real period |
R |
0.35660620374249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999768194 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118286i1 |
Quadratic twists by: -7 |