Atkin-Lehner |
2- 3- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44286bf |
Isogeny class |
Conductor |
44286 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
-2306822669163738 = -1 · 2 · 36 · 1110 · 61 |
Discriminant |
Eigenvalues |
2- 3- 0 1 11- 4 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,28977,1319715] |
[a1,a2,a3,a4,a6] |
j |
103742375/88938 |
j-invariant |
L |
7.1764090001352 |
L(r)(E,1)/r! |
Ω |
0.29901704167398 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44286q1 |
Quadratic twists by: -11 |