Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
67600cx |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
6274851700000000 = 28 · 58 · 137 |
Discriminant |
Eigenvalues |
2- 1 5- 2 -2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56333,3439463] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:2042:1] |
Generators of the group modulo torsion |
j |
40960/13 |
j-invariant |
L |
7.6090652910353 |
L(r)(E,1)/r! |
Ω |
0.39171950274865 |
Real period |
R |
4.8561950818037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000338 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16900s1 67600bt1 5200bd1 |
Quadratic twists by: -4 5 13 |