Atkin-Lehner |
2+ 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
129800f |
Isogeny class |
Conductor |
129800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
19632250000000000 = 210 · 512 · 113 · 59 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11- 6 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-646075,199767750] |
[a1,a2,a3,a4,a6] |
j |
1864028457227556/1227015625 |
j-invariant |
L |
2.2888608151577 |
L(r)(E,1)/r! |
Ω |
0.38147661677059 |
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 |
25960d1 |
Quadratic twists by: 5 |