Atkin-Lehner |
5+ 7- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116725f |
Isogeny class |
Conductor |
116725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16465920 |
Modular degree for the optimal curve |
Δ |
-1.8520978590989E+23 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 2 6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-170911567,860305506216] |
[a1,a2,a3,a4,a6] |
j |
-35336054460296909269579329/11853426298233163175 |
j-invariant |
L |
3.1702160061651 |
L(r)(E,1)/r! |
Ω |
0.099069240658541 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23345d1 |
Quadratic twists by: 5 |