Atkin-Lehner |
2- 3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
39396k |
Isogeny class |
Conductor |
39396 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-7237360368 = -1 · 24 · 39 · 73 · 67 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -5 -5 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-954,11745] |
[a1,a2,a3,a4,a6] |
Generators |
[9:63:1] [-18:153:1] |
Generators of the group modulo torsion |
j |
-17514989824/1318761 |
j-invariant |
L |
9.1600980411919 |
L(r)(E,1)/r! |
Ω |
1.2996177389503 |
Real period |
R |
0.13052410729963 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118188v1 39396b1 |
Quadratic twists by: -3 -7 |