Atkin-Lehner |
11- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
108779d |
Isogeny class |
Conductor |
108779 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-17518966729 = -1 · 117 · 29 · 31 |
Discriminant |
Eigenvalues |
1 2 3 -1 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5326,-151983] |
[a1,a2,a3,a4,a6] |
Generators |
[314326890213992496:3907710114893730159:1595993406347647] |
Generators of the group modulo torsion |
j |
-9434056897/9889 |
j-invariant |
L |
14.762663274867 |
L(r)(E,1)/r! |
Ω |
0.27940318686746 |
Real period |
R |
26.418208468521 |
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 |
9889b1 |
Quadratic twists by: -11 |