Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200r |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1663488000000 = -1 · 215 · 32 · 56 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-833,-62463] |
[a1,a2,a3,a4,a6] |
j |
-125000/3249 |
j-invariant |
L |
1.4596851135211 |
L(r)(E,1)/r! |
Ω |
0.36492125954324 |
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 |
91200cl2 45600bn2 3648o2 |
Quadratic twists by: -4 8 5 |