Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
17934bb |
Isogeny class |
Conductor |
17934 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-355565652148224 = -1 · 218 · 33 · 77 · 61 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -2 4 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,7594,-870108] |
[a1,a2,a3,a4,a6] |
Generators |
[172:2266:1] |
Generators of the group modulo torsion |
j |
411664745519/3022258176 |
j-invariant |
L |
8.8675524288325 |
L(r)(E,1)/r! |
Ω |
0.26776700910414 |
Real period |
R |
0.30663585931791 |
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 |
53802y1 2562k1 |
Quadratic twists by: -3 -7 |