Atkin-Lehner |
2- 31- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
117242l |
Isogeny class |
Conductor |
117242 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1505280 |
Modular degree for the optimal curve |
Δ |
-852399772203433984 = -1 · 214 · 318 · 61 |
Discriminant |
Eigenvalues |
2- 2 -1 1 -3 -1 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,143169,-39162715] |
[a1,a2,a3,a4,a6] |
Generators |
[3159:177166:1] |
Generators of the group modulo torsion |
j |
365679263951/960446464 |
j-invariant |
L |
14.50132816791 |
L(r)(E,1)/r! |
Ω |
0.14495566456469 |
Real period |
R |
1.7864240669472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034523 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3782c1 |
Quadratic twists by: -31 |