Atkin-Lehner |
2- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
68800du |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-397069726515200 = -1 · 233 · 52 · 432 |
Discriminant |
Eigenvalues |
2- 3 5+ -2 -1 2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-778060,-264162160] |
[a1,a2,a3,a4,a6] |
Generators |
[152332958193942:6956622105325568:62240377347] |
Generators of the group modulo torsion |
j |
-7948461006944145/60588032 |
j-invariant |
L |
11.575168170985 |
L(r)(E,1)/r! |
Ω |
0.080374093576037 |
Real period |
R |
18.002019767779 |
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 |
68800y1 17200u1 68800eg1 |
Quadratic twists by: -4 8 5 |