Atkin-Lehner |
2+ 3- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17856o |
Isogeny class |
Conductor |
17856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-16870063104 = -1 · 210 · 312 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 -4 2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3468,-78856] |
[a1,a2,a3,a4,a6] |
j |
-6179217664/22599 |
j-invariant |
L |
0.62199186224503 |
L(r)(E,1)/r! |
Ω |
0.31099593112251 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17856cc1 2232b1 5952b1 |
Quadratic twists by: -4 8 -3 |