Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222bv |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
7829613813547639872 = 26 · 313 · 11 · 178 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11- 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1421501,-637933755] |
[a1,a2,a3,a4,a6] |
j |
18052771191337/444958272 |
j-invariant |
L |
3.3233535824169 |
L(r)(E,1)/r! |
Ω |
0.13847306610672 |
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 |
19074a1 3366n1 |
Quadratic twists by: -3 17 |