Atkin-Lehner |
5+ 7+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
23345d |
Isogeny class |
Conductor |
23345 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
686080 |
Modular degree for the optimal curve |
Δ |
-1.1853426298233E+19 |
Discriminant |
Eigenvalues |
-1 0 5+ 7+ 2 -6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6836463,6883811342] |
[a1,a2,a3,a4,a6] |
j |
-35336054460296909269579329/11853426298233163175 |
j-invariant |
L |
0.44305111318359 |
L(r)(E,1)/r! |
Ω |
0.22152555659178 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116725f1 |
Quadratic twists by: 5 |