Atkin-Lehner |
2+ 5- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
37720j |
Isogeny class |
Conductor |
37720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
293721113600 = 210 · 52 · 234 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 -2 6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7067,227174] |
[a1,a2,a3,a4,a6] |
j |
38117905534404/286837025 |
j-invariant |
L |
3.9105936362416 |
L(r)(E,1)/r! |
Ω |
0.97764840905972 |
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 |
75440i1 |
Quadratic twists by: -4 |