Atkin-Lehner |
2+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
91936c |
Isogeny class |
Conductor |
91936 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-982859091968 = -1 · 212 · 132 · 175 |
Discriminant |
Eigenvalues |
2+ -1 0 1 -4 13+ 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-433,47969] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:220:1] |
Generators of the group modulo torsion |
j |
-13000000/1419857 |
j-invariant |
L |
4.8558324681931 |
L(r)(E,1)/r! |
Ω |
0.72204942411695 |
Real period |
R |
3.3625346903194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999892013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91936b1 91936n1 |
Quadratic twists by: -4 13 |