Atkin-Lehner |
2- 3- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
22776f |
Isogeny class |
Conductor |
22776 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-76797258879744 = -1 · 28 · 33 · 134 · 733 |
Discriminant |
Eigenvalues |
2- 3- -1 2 4 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14841,808731] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:1014:1] |
Generators of the group modulo torsion |
j |
-1412220478557184/299989292499 |
j-invariant |
L |
6.8442428064621 |
L(r)(E,1)/r! |
Ω |
0.58518175182751 |
Real period |
R |
0.97466054849449 |
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 |
45552a1 68328b1 |
Quadratic twists by: -4 -3 |