Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
5850cb |
Isogeny class |
Conductor |
5850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-2956824000 = -1 · 26 · 37 · 53 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,355,357] |
[a1,a2,a3,a4,a6] |
Generators |
[9:60:1] |
Generators of the group modulo torsion |
j |
54439939/32448 |
j-invariant |
L |
5.518164163242 |
L(r)(E,1)/r! |
Ω |
0.8716338799911 |
Real period |
R |
0.52756899904831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46800fj1 1950e1 5850u1 76050co1 |
Quadratic twists by: -4 -3 5 13 |