Atkin-Lehner |
2+ 3- 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
50778o |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
37486046052 = 22 · 37 · 73 · 13 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2322,-41472] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:45:1] |
Generators of the group modulo torsion |
j |
1899713166625/51421188 |
j-invariant |
L |
4.2159074823386 |
L(r)(E,1)/r! |
Ω |
0.68887903148468 |
Real period |
R |
0.50999610594923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16926bl1 |
Quadratic twists by: -3 |