Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
9408ck |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-183611771191296 = -1 · 217 · 35 · 78 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 3 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7775,598751] |
[a1,a2,a3,a4,a6] |
Generators |
[359:7056:1] |
Generators of the group modulo torsion |
j |
68782/243 |
j-invariant |
L |
5.6407272991669 |
L(r)(E,1)/r! |
Ω |
0.40357929676241 |
Real period |
R |
0.23294584833009 |
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 |
9408b1 2352a1 28224ep1 9408by1 |
Quadratic twists by: -4 8 -3 -7 |