Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86640cv |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4669440 |
Modular degree for the optimal curve |
Δ |
-3.5081431816053E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8438856,13044761460] |
[a1,a2,a3,a4,a6] |
Generators |
[48039:-10510554:1] |
Generators of the group modulo torsion |
j |
-50284268371/26542080 |
j-invariant |
L |
8.6168076761791 |
L(r)(E,1)/r! |
Ω |
0.10798786692197 |
Real period |
R |
9.9742775775137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830a1 86640bn1 |
Quadratic twists by: -4 -19 |