Atkin-Lehner |
2+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
68800cc |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-3256606720000 = -1 · 216 · 54 · 433 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 -1 -1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13100,583600] |
[a1,a2,a3,a4,a6] |
Generators |
[120:860:1] |
Generators of the group modulo torsion |
j |
-6069845700/79507 |
j-invariant |
L |
6.0018175225121 |
L(r)(E,1)/r! |
Ω |
0.79858046301601 |
Real period |
R |
0.41753376424432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000935 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800dx1 8600c1 68800d1 |
Quadratic twists by: -4 8 5 |