Atkin-Lehner |
5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79475n |
Isogeny class |
Conductor |
79475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-358728326403425 = -1 · 52 · 112 · 179 |
Discriminant |
Eigenvalues |
-1 3 5+ 3 11- -5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,13095,702202] |
[a1,a2,a3,a4,a6] |
j |
411564375/594473 |
j-invariant |
L |
2.9152745039573 |
L(r)(E,1)/r! |
Ω |
0.36440930892075 |
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 |
79475bb1 4675i1 |
Quadratic twists by: 5 17 |