Atkin-Lehner |
2- 5+ 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
112880j |
Isogeny class |
Conductor |
112880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-73977036800 = -1 · 221 · 52 · 17 · 83 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 -3 -5 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,624,-11840] |
[a1,a2,a3,a4,a6] |
Generators |
[18:70:1] [24:128:1] |
Generators of the group modulo torsion |
j |
6549699311/18060800 |
j-invariant |
L |
7.7163587761625 |
L(r)(E,1)/r! |
Ω |
0.56081634790586 |
Real period |
R |
1.7198943115845 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004287 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14110h1 |
Quadratic twists by: -4 |