Atkin-Lehner |
2- 3- 29- 41- |
Signs for the Atkin-Lehner involutions |
Class |
85608v |
Isogeny class |
Conductor |
85608 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2374508411136 = 28 · 38 · 292 · 412 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3999,-63070] |
[a1,a2,a3,a4,a6] |
Generators |
[433:8910:1] |
Generators of the group modulo torsion |
j |
37897488592/12723489 |
j-invariant |
L |
8.9583159668283 |
L(r)(E,1)/r! |
Ω |
0.61661024861313 |
Real period |
R |
3.6320820100888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002156 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28536a2 |
Quadratic twists by: -3 |