Atkin-Lehner |
5+ 7- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
106925t |
Isogeny class |
Conductor |
106925 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-96845648046875 = -1 · 58 · 74 · 133 · 47 |
Discriminant |
Eigenvalues |
-2 -1 5+ 7- -1 13- -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-20508,1232418] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:-1138:1] [-934:11371:8] |
Generators of the group modulo torsion |
j |
-61051282149376/6198121475 |
j-invariant |
L |
4.9183778502207 |
L(r)(E,1)/r! |
Ω |
0.58499641793382 |
Real period |
R |
0.17515697891015 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21385j1 |
Quadratic twists by: 5 |