Atkin-Lehner |
2- 5- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
50470s |
Isogeny class |
Conductor |
50470 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
1344000 |
Modular degree for the optimal curve |
Δ |
-106031161250000000 = -1 · 27 · 510 · 77 · 103 |
Discriminant |
Eigenvalues |
2- -3 5- 7- 6 -3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,96888,10497099] |
[a1,a2,a3,a4,a6] |
Generators |
[457:12021:1] |
Generators of the group modulo torsion |
j |
854967581780031/901250000000 |
j-invariant |
L |
6.6377601494778 |
L(r)(E,1)/r! |
Ω |
0.2216009526268 |
Real period |
R |
0.21395473229886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999644 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7210e1 |
Quadratic twists by: -7 |