Atkin-Lehner |
2- 3+ 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54264j |
Isogeny class |
Conductor |
54264 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
189440 |
Modular degree for the optimal curve |
Δ |
-351585262938672 = -1 · 24 · 35 · 74 · 172 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,17513,-140552] |
[a1,a2,a3,a4,a6] |
j |
37124496636127232/21974078933667 |
j-invariant |
L |
1.2618762700298 |
L(r)(E,1)/r! |
Ω |
0.31546906796147 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
108528c1 |
Quadratic twists by: -4 |