Atkin-Lehner |
11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
75779g |
Isogeny class |
Conductor |
75779 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
18648 |
Modular degree for the optimal curve |
Δ |
-9169259 = -1 · 113 · 832 |
Discriminant |
Eigenvalues |
-2 -1 2 0 11- 6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,28,-144] |
[a1,a2,a3,a4,a6] |
Generators |
[9:27:1] |
Generators of the group modulo torsion |
j |
339968/1331 |
j-invariant |
L |
3.2774866651737 |
L(r)(E,1)/r! |
Ω |
1.1711509609883 |
Real period |
R |
0.9328392253207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988644 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75779f1 |
Quadratic twists by: -83 |