Atkin-Lehner |
5+ 19+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
39425a |
Isogeny class |
Conductor |
39425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
178752 |
Modular degree for the optimal curve |
Δ |
1925048828125 = 513 · 19 · 83 |
Discriminant |
Eigenvalues |
0 3 5+ -2 4 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-36550,-2688719] |
[a1,a2,a3,a4,a6] |
Generators |
[-450026445:534248:4019679] |
Generators of the group modulo torsion |
j |
345593710411776/123203125 |
j-invariant |
L |
8.2924487616107 |
L(r)(E,1)/r! |
Ω |
0.34529238524634 |
Real period |
R |
12.007865096257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7885a1 |
Quadratic twists by: 5 |