Atkin-Lehner |
5+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
96815c |
Isogeny class |
Conductor |
96815 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2643840 |
Modular degree for the optimal curve |
Δ |
-422098722906509375 = -1 · 55 · 1710 · 67 |
Discriminant |
Eigenvalues |
-1 1 5+ 0 2 3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14283831,20777379920] |
[a1,a2,a3,a4,a6] |
j |
-159870601792081/209375 |
j-invariant |
L |
1.011198189228 |
L(r)(E,1)/r! |
Ω |
0.25279949977771 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96815o1 |
Quadratic twists by: 17 |