Atkin-Lehner |
2- 3- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
124722by |
Isogeny class |
Conductor |
124722 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
5170025983356 = 22 · 315 · 133 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 -4 5 13- -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4361,18893] |
[a1,a2,a3,a4,a6] |
j |
5725732069/3228012 |
j-invariant |
L |
5.2824435732924 |
L(r)(E,1)/r! |
Ω |
0.66030524642252 |
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 |
41574j1 124722bb1 |
Quadratic twists by: -3 13 |