Atkin-Lehner |
2- 7+ 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
12922c |
Isogeny class |
Conductor |
12922 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
62298177419336768 = 26 · 75 · 138 · 71 |
Discriminant |
Eigenvalues |
2- 2 0 7+ -2 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-101023,-2963195] |
[a1,a2,a3,a4,a6] |
Generators |
[-137:2954:1] |
Generators of the group modulo torsion |
j |
114020978741696832625/62298177419336768 |
j-invariant |
L |
9.2847729939007 |
L(r)(E,1)/r! |
Ω |
0.28596392078627 |
Real period |
R |
2.7056947628136 |
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 |
103376t1 116298f1 90454j1 |
Quadratic twists by: -4 -3 -7 |