Atkin-Lehner |
2- 3+ 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37050bk |
Isogeny class |
Conductor |
37050 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-1565362500000 = -1 · 25 · 3 · 58 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 3 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6338,-205969] |
[a1,a2,a3,a4,a6] |
j |
-1802041022809/100183200 |
j-invariant |
L |
2.6667415473206 |
L(r)(E,1)/r! |
Ω |
0.26667415473285 |
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 |
111150x1 7410k1 |
Quadratic twists by: -3 5 |