Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408bv |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-488117230272 = -1 · 26 · 33 · 710 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 2 5 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8003,-274959] |
[a1,a2,a3,a4,a6] |
Generators |
[974115800:5008894367:8365427] |
Generators of the group modulo torsion |
j |
-3136000/27 |
j-invariant |
L |
3.9727782944811 |
L(r)(E,1)/r! |
Ω |
0.25224856070488 |
Real period |
R |
15.749458721904 |
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 |
9408cr1 4704m1 28224fe1 9408cj1 |
Quadratic twists by: -4 8 -3 -7 |