Atkin-Lehner |
3+ 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
17775p |
Isogeny class |
Conductor |
17775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
3037025390625 = 39 · 59 · 79 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 -6 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4430,77572] |
[a1,a2,a3,a4,a6] |
j |
250047/79 |
j-invariant |
L |
0.74023278816103 |
L(r)(E,1)/r! |
Ω |
0.74023278816103 |
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 |
17775l1 17775j1 |
Quadratic twists by: -3 5 |