Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
31950x |
Isogeny class |
Conductor |
31950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-491306132812500 = -1 · 22 · 311 · 510 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 0 -6 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16992,-1361084] |
[a1,a2,a3,a4,a6] |
Generators |
[170:716:1] |
Generators of the group modulo torsion |
j |
-76215625/69012 |
j-invariant |
L |
3.2985839842099 |
L(r)(E,1)/r! |
Ω |
0.20151392469113 |
Real period |
R |
4.0922531647201 |
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 |
10650s1 31950cu1 |
Quadratic twists by: -3 5 |