Atkin-Lehner |
2- 3+ 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
6834p |
Isogeny class |
Conductor |
6834 |
Conductor |
∏ cp |
65 |
Product of Tamagawa factors cp |
deg |
12480 |
Modular degree for the optimal curve |
Δ |
2337925177344 = 213 · 3 · 175 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 -1 -1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22555,-1311127] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:78:1] |
Generators of the group modulo torsion |
j |
1268976004235100721/2337925177344 |
j-invariant |
L |
5.3313840455951 |
L(r)(E,1)/r! |
Ω |
0.38961602438645 |
Real period |
R |
0.21051827408361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54672bl1 20502h1 116178bf1 |
Quadratic twists by: -4 -3 17 |