Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
51744cf |
Isogeny class |
Conductor |
51744 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
169344 |
Modular degree for the optimal curve |
Δ |
-639055031763456 = -1 · 29 · 39 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 11- -2 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14520,-1395108] |
[a1,a2,a3,a4,a6] |
j |
-114709448/216513 |
j-invariant |
L |
1.8429248953432 |
L(r)(E,1)/r! |
Ω |
0.20476943299467 |
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 |
51744c1 103488c1 51744cc1 |
Quadratic twists by: -4 8 -7 |