Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200em |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-5737807872000 = -1 · 228 · 32 · 53 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10113,404703] |
[a1,a2,a3,a4,a6] |
j |
-3491055413/175104 |
j-invariant |
L |
3.0027750570886 |
L(r)(E,1)/r! |
Ω |
0.75069374303717 |
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 |
91200gp1 2850u1 91200bz1 |
Quadratic twists by: -4 8 5 |