Atkin-Lehner |
5+ 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55825g |
Isogeny class |
Conductor |
55825 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
-3694044921875 = -1 · 59 · 72 · 113 · 29 |
Discriminant |
Eigenvalues |
0 -1 5+ 7+ 11- 1 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,2617,75918] |
[a1,a2,a3,a4,a6] |
Generators |
[282:-4813:1] [-54:1921:8] |
Generators of the group modulo torsion |
j |
126808653824/236418875 |
j-invariant |
L |
6.6668123764463 |
L(r)(E,1)/r! |
Ω |
0.54192454848095 |
Real period |
R |
0.51258768364945 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11165f1 |
Quadratic twists by: 5 |