Atkin-Lehner |
3- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
49725w |
Isogeny class |
Conductor |
49725 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
1069864453125 = 36 · 58 · 13 · 172 |
Discriminant |
Eigenvalues |
0 3- 5- 0 0 13+ 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9000,-324844] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:59:1] [-50:12:1] |
Generators of the group modulo torsion |
j |
283115520/3757 |
j-invariant |
L |
8.1955356098561 |
L(r)(E,1)/r! |
Ω |
0.49055494701357 |
Real period |
R |
2.7844436386964 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5525h1 49725l1 |
Quadratic twists by: -3 5 |