Atkin-Lehner |
2- 5+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
42550u |
Isogeny class |
Conductor |
42550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
199296 |
Modular degree for the optimal curve |
Δ |
-855832483281250 = -1 · 2 · 57 · 236 · 37 |
Discriminant |
Eigenvalues |
2- 0 5+ 3 5 4 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-39505,3343747] |
[a1,a2,a3,a4,a6] |
j |
-436364667185049/54773278930 |
j-invariant |
L |
5.8249938219719 |
L(r)(E,1)/r! |
Ω |
0.48541615182885 |
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 |
8510a1 |
Quadratic twists by: 5 |