Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8925z |
Isogeny class |
Conductor |
8925 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-1660468359375 = -1 · 36 · 58 · 73 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1912,-52833] |
[a1,a2,a3,a4,a6] |
Generators |
[37:244:1] |
Generators of the group modulo torsion |
j |
49471280711/106269975 |
j-invariant |
L |
3.3966200128485 |
L(r)(E,1)/r! |
Ω |
0.43747559979154 |
Real period |
R |
0.4313408837312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26775bp1 1785a1 62475y1 |
Quadratic twists by: -3 5 -7 |