Atkin-Lehner |
2- 3- 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
50778bn |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-855507744 = -1 · 25 · 36 · 7 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 2 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1643,26075] |
[a1,a2,a3,a4,a6] |
Generators |
[25:0:1] |
Generators of the group modulo torsion |
j |
-672451615081/1173536 |
j-invariant |
L |
10.003918524406 |
L(r)(E,1)/r! |
Ω |
1.5824418859599 |
Real period |
R |
0.63218236405284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999829 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5642f1 |
Quadratic twists by: -3 |