Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400dm |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
909512064000000 = 213 · 39 · 56 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -2 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-119475,-15828750] |
[a1,a2,a3,a4,a6] |
Generators |
[-191:152:1] |
Generators of the group modulo torsion |
j |
149721291/722 |
j-invariant |
L |
6.912439416787 |
L(r)(E,1)/r! |
Ω |
0.25686583152433 |
Real period |
R |
1.6819187704597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000432 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8550a2 68400dl2 2736k2 |
Quadratic twists by: -4 -3 5 |