Atkin-Lehner |
2+ 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
64320bf |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1654824960000 = 216 · 32 · 54 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-53601,-4793985] |
[a1,a2,a3,a4,a6] |
Generators |
[6751771:246576000:4913] |
Generators of the group modulo torsion |
j |
259878624962404/25250625 |
j-invariant |
L |
6.0512206325973 |
L(r)(E,1)/r! |
Ω |
0.31376766692312 |
Real period |
R |
9.6428365156814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000834 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64320bs2 8040i2 |
Quadratic twists by: -4 8 |