Atkin-Lehner |
2+ 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
109368b |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
375046495488 = 28 · 39 · 74 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 5 -2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26460,-1656396] |
[a1,a2,a3,a4,a6] |
j |
169344000/31 |
j-invariant |
L |
2.9946547983294 |
L(r)(E,1)/r! |
Ω |
0.37433192306134 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109368bd1 109368d1 |
Quadratic twists by: -3 -7 |