Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200fm |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-504299520000000 = -1 · 222 · 34 · 57 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16033,-1328063] |
[a1,a2,a3,a4,a6] |
j |
-111284641/123120 |
j-invariant |
L |
0.81328041239883 |
L(r)(E,1)/r! |
Ω |
0.20332014685768 |
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 |
91200ed1 22800dk1 18240cm1 |
Quadratic twists by: -4 8 5 |