Atkin-Lehner |
2+ 5- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117040r |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-406670110000 = -1 · 24 · 54 · 72 · 112 · 193 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 11+ -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1645,-17350] |
[a1,a2,a3,a4,a6] |
Generators |
[730:19740:1] |
Generators of the group modulo torsion |
j |
30749453441024/25416881875 |
j-invariant |
L |
11.33880288951 |
L(r)(E,1)/r! |
Ω |
0.52380658130703 |
Real period |
R |
5.4117317819289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955364 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58520r1 |
Quadratic twists by: -4 |