Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
45600o |
Isogeny class |
Conductor |
45600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-6351193935000000 = -1 · 26 · 33 · 57 · 196 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-52658,-6045312] |
[a1,a2,a3,a4,a6] |
j |
-16148234224576/6351193935 |
j-invariant |
L |
1.8548934902574 |
L(r)(E,1)/r! |
Ω |
0.15457445750281 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45600be1 91200bf2 9120l1 |
Quadratic twists by: -4 8 5 |