Atkin-Lehner |
2- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
68800dj |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-2423521280000000000 = -1 · 227 · 510 · 432 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 -5 -2 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,219167,63569537] |
[a1,a2,a3,a4,a6] |
Generators |
[653:22016:1] |
Generators of the group modulo torsion |
j |
454786175/946688 |
j-invariant |
L |
2.0524001145254 |
L(r)(E,1)/r! |
Ω |
0.17857154343893 |
Real period |
R |
1.436679155905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000747 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800g1 17200m1 68800dz1 |
Quadratic twists by: -4 8 5 |