Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
63700l |
Isogeny class |
Conductor |
63700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
9788396800 = 28 · 52 · 76 · 13 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-653,4537] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:98:1] |
Generators of the group modulo torsion |
j |
40960/13 |
j-invariant |
L |
4.3100101586112 |
L(r)(E,1)/r! |
Ω |
1.1936660800233 |
Real period |
R |
0.60178892445392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997336 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63700bq1 1300c1 |
Quadratic twists by: 5 -7 |