Atkin-Lehner |
2+ 3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
25830h |
Isogeny class |
Conductor |
25830 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
43731557130240000 = 216 · 312 · 54 · 72 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-293805,-60391899] |
[a1,a2,a3,a4,a6] |
j |
3847463977937161681/59988418560000 |
j-invariant |
L |
0.82102245315137 |
L(r)(E,1)/r! |
Ω |
0.20525561328787 |
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 |
8610s1 129150cz1 |
Quadratic twists by: -3 5 |