Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54150bq |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
656640 |
Modular degree for the optimal curve |
Δ |
-50143120700400450 = -1 · 2 · 310 · 52 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 5 6 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-119318,-19226059] |
[a1,a2,a3,a4,a6] |
j |
-442458985/118098 |
j-invariant |
L |
4.053520569702 |
L(r)(E,1)/r! |
Ω |
0.1266725177641 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54150bf1 54150ba1 |
Quadratic twists by: 5 -19 |