Atkin-Lehner |
2- 5- 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
82160o |
Isogeny class |
Conductor |
82160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
280811048960 = 212 · 5 · 133 · 792 |
Discriminant |
Eigenvalues |
2- -2 5- 0 0 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3240,-67340] |
[a1,a2,a3,a4,a6] |
j |
918613512361/68557385 |
j-invariant |
L |
1.2715277359459 |
L(r)(E,1)/r! |
Ω |
0.63576388538479 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5135b1 |
Quadratic twists by: -4 |