Atkin-Lehner |
5+ 7+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
106925a |
Isogeny class |
Conductor |
106925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
940032 |
Modular degree for the optimal curve |
Δ |
-791168774169921875 = -1 · 512 · 74 · 13 · 473 |
Discriminant |
Eigenvalues |
0 -1 5+ 7+ 3 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,115367,40010668] |
[a1,a2,a3,a4,a6] |
Generators |
[152:7812:1] |
Generators of the group modulo torsion |
j |
10867877132632064/50634801546875 |
j-invariant |
L |
3.8564424775247 |
L(r)(E,1)/r! |
Ω |
0.20311267234421 |
Real period |
R |
2.3733394197813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999535102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21385n1 |
Quadratic twists by: 5 |