Atkin-Lehner |
2+ 3- 5- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114390p |
Isogeny class |
Conductor |
114390 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
105885680025600 = 214 · 38 · 52 · 312 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 2 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-59589,-5562027] |
[a1,a2,a3,a4,a6] |
j |
32099522743906129/145247846400 |
j-invariant |
L |
1.2226041596188 |
L(r)(E,1)/r! |
Ω |
0.30565108151032 |
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 |
38130y1 |
Quadratic twists by: -3 |