Atkin-Lehner |
2+ 3- 7- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
86814t |
Isogeny class |
Conductor |
86814 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
200448 |
Modular degree for the optimal curve |
Δ |
-18276355094634 = -1 · 2 · 36 · 72 · 136 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -3 13- -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2340,200434] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:416:1] |
Generators of the group modulo torsion |
j |
1943297778239/25070445946 |
j-invariant |
L |
3.8225519194141 |
L(r)(E,1)/r! |
Ω |
0.50985963712197 |
Real period |
R |
0.31238596870341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998203 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9646e1 |
Quadratic twists by: -3 |