Atkin-Lehner |
2- 3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
6396c |
Isogeny class |
Conductor |
6396 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
31403120787792 = 24 · 312 · 133 · 412 |
Discriminant |
Eigenvalues |
2- 3- -2 2 -2 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1230809,525164160] |
[a1,a2,a3,a4,a6] |
Generators |
[397:9963:1] |
Generators of the group modulo torsion |
j |
12887719410278499008512/1962695049237 |
j-invariant |
L |
4.4379006008098 |
L(r)(E,1)/r! |
Ω |
0.51568057497335 |
Real period |
R |
0.47810610937025 |
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 |
25584l1 102336n1 19188m1 83148k1 |
Quadratic twists by: -4 8 -3 13 |