Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200gj |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-69312000000 = -1 · 212 · 3 · 56 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -6 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-233,-12663] |
[a1,a2,a3,a4,a6] |
Generators |
[4228:32375:64] |
Generators of the group modulo torsion |
j |
-21952/1083 |
j-invariant |
L |
5.3541307654814 |
L(r)(E,1)/r! |
Ω |
0.48085474937565 |
Real period |
R |
5.5673056896533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002409 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200hx2 45600q1 3648bi2 |
Quadratic twists by: -4 8 5 |