Atkin-Lehner |
3- 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
17775bg |
Isogeny class |
Conductor |
17775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
3985184717578125 = 317 · 58 · 79 |
Discriminant |
Eigenvalues |
-1 3- 5- 2 -4 -1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-44555,-1958178] |
[a1,a2,a3,a4,a6] |
j |
34349178505/13994613 |
j-invariant |
L |
0.68103836125813 |
L(r)(E,1)/r! |
Ω |
0.34051918062907 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5925d1 17775ba1 |
Quadratic twists by: -3 5 |