Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490cv |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-851191335000 = -1 · 23 · 311 · 54 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -3 -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1157,47189] |
[a1,a2,a3,a4,a6] |
Generators |
[57:-434:1] |
Generators of the group modulo torsion |
j |
-244298569/1215000 |
j-invariant |
L |
8.1858875403509 |
L(r)(E,1)/r! |
Ω |
0.77200515455505 |
Real period |
R |
0.22090438472906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004847 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28830q1 86490cl1 |
Quadratic twists by: -3 -31 |