Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200dz |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1871424000000 = 212 · 34 · 56 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11433,-469737] |
[a1,a2,a3,a4,a6] |
Generators |
[237:3192:1] |
Generators of the group modulo torsion |
j |
2582630848/29241 |
j-invariant |
L |
10.0198808336 |
L(r)(E,1)/r! |
Ω |
0.46201226552815 |
Real period |
R |
2.7109347445242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009448 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
91200n2 45600c1 3648h2 |
Quadratic twists by: -4 8 5 |