Atkin-Lehner |
2+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
12992o |
Isogeny class |
Conductor |
12992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-5012449132544 = -1 · 222 · 72 · 293 |
Discriminant |
Eigenvalues |
2+ -1 3 7- 3 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-929,108577] |
[a1,a2,a3,a4,a6] |
j |
-338608873/19120976 |
j-invariant |
L |
2.5415833934015 |
L(r)(E,1)/r! |
Ω |
0.63539584835038 |
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 |
12992x1 406b1 116928cn1 90944t1 |
Quadratic twists by: -4 8 -3 -7 |