Atkin-Lehner |
2- 3- 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
40590bj |
Isogeny class |
Conductor |
40590 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-821947500000 = -1 · 25 · 36 · 57 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2317,-8269] |
[a1,a2,a3,a4,a6] |
j |
1887773984279/1127500000 |
j-invariant |
L |
5.2079960798706 |
L(r)(E,1)/r! |
Ω |
0.52079960797894 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4510c1 |
Quadratic twists by: -3 |