Atkin-Lehner |
2- 7- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
51646bh |
Isogeny class |
Conductor |
51646 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-2267503397188736 = -1 · 27 · 711 · 172 · 31 |
Discriminant |
Eigenvalues |
2- -1 1 7- -2 -6 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-58850,-5978001] |
[a1,a2,a3,a4,a6] |
Generators |
[1203:40215:1] |
Generators of the group modulo torsion |
j |
-191591101730449/19273460864 |
j-invariant |
L |
6.9600058477036 |
L(r)(E,1)/r! |
Ω |
0.15239269195441 |
Real period |
R |
0.81556285353771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7378q1 |
Quadratic twists by: -7 |