Atkin-Lehner |
2- 3- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6324b |
Isogeny class |
Conductor |
6324 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-11610864 = -1 · 24 · 34 · 172 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 1 -4 4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,54,81] |
[a1,a2,a3,a4,a6] |
Generators |
[12:51:1] |
Generators of the group modulo torsion |
j |
1068359936/725679 |
j-invariant |
L |
4.5814427890834 |
L(r)(E,1)/r! |
Ω |
1.4259208173652 |
Real period |
R |
0.13387380787236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25296j1 101184a1 18972d1 107508e1 |
Quadratic twists by: -4 8 -3 17 |