Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200do |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
33269760000000 = 217 · 32 · 57 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-69312033,-222129503937] |
[a1,a2,a3,a4,a6] |
Generators |
[10569:475416:1] |
Generators of the group modulo torsion |
j |
17981241677724245762/16245 |
j-invariant |
L |
7.030705629665 |
L(r)(E,1)/r! |
Ω |
0.052323573238487 |
Real period |
R |
8.3981095808082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003136 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200fa6 11400a5 18240f5 |
Quadratic twists by: -4 8 5 |