Atkin-Lehner |
5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79475t |
Isogeny class |
Conductor |
79475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1645056 |
Modular degree for the optimal curve |
Δ |
-8662473790991796875 = -1 · 58 · 11 · 1710 |
Discriminant |
Eigenvalues |
-2 -1 5+ 0 11- 0 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-696008,-264347832] |
[a1,a2,a3,a4,a6] |
j |
-1183744/275 |
j-invariant |
L |
0.32655477007756 |
L(r)(E,1)/r! |
Ω |
0.08163868512878 |
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 |
15895g1 79475g1 |
Quadratic twists by: 5 17 |