Atkin-Lehner |
3- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
48279bb |
Isogeny class |
Conductor |
48279 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
235200 |
Modular degree for the optimal curve |
Δ |
1786217124153 = 3 · 72 · 116 · 193 |
Discriminant |
Eigenvalues |
1 3- 4 7- 11- -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-52154,-4588201] |
[a1,a2,a3,a4,a6] |
Generators |
[-1955200205:1063496076:14706125] |
Generators of the group modulo torsion |
j |
8855610342769/1008273 |
j-invariant |
L |
11.76215135975 |
L(r)(E,1)/r! |
Ω |
0.31592326828 |
Real period |
R |
12.410346161768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
399c1 |
Quadratic twists by: -11 |