Atkin-Lehner |
5- 7- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
82775bc |
Isogeny class |
Conductor |
82775 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
275328 |
Modular degree for the optimal curve |
Δ |
-35649398351875 = -1 · 54 · 72 · 114 · 433 |
Discriminant |
Eigenvalues |
2 -2 5- 7- 11+ -2 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3158,-296331] |
[a1,a2,a3,a4,a6] |
j |
-5574649753600/57039037363 |
j-invariant |
L |
3.3208873483361 |
L(r)(E,1)/r! |
Ω |
0.27674061381776 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82775d1 |
Quadratic twists by: 5 |