Atkin-Lehner |
5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79475m |
Isogeny class |
Conductor |
79475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-112843135075 = -1 · 52 · 11 · 177 |
Discriminant |
Eigenvalues |
-1 -2 5+ -3 11- -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1278253,-556360788] |
[a1,a2,a3,a4,a6] |
j |
-382772438090905/187 |
j-invariant |
L |
0.28397184157699 |
L(r)(E,1)/r! |
Ω |
0.070992971102626 |
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 |
79475z1 4675c1 |
Quadratic twists by: 5 17 |