Atkin-Lehner |
2- 3- 7+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
50778bk |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
573440 |
Modular degree for the optimal curve |
Δ |
374753456243712 = 210 · 310 · 7 · 134 · 31 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ -2 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-146057,21501065] |
[a1,a2,a3,a4,a6] |
Generators |
[183:-1028:1] |
Generators of the group modulo torsion |
j |
472672705032827209/514065097728 |
j-invariant |
L |
5.1634378023128 |
L(r)(E,1)/r! |
Ω |
0.53371827569134 |
Real period |
R |
0.24186157929568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16926t1 |
Quadratic twists by: -3 |