Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86640cl |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
168480 |
Modular degree for the optimal curve |
Δ |
-16621901414640 = -1 · 24 · 313 · 5 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -2 -2 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3490,178227] |
[a1,a2,a3,a4,a6] |
Generators |
[13:475:1] |
Generators of the group modulo torsion |
j |
2253933824/7971615 |
j-invariant |
L |
3.8295938026899 |
L(r)(E,1)/r! |
Ω |
0.49304140669055 |
Real period |
R |
2.5890954599313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995507 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21660bb1 86640eg1 |
Quadratic twists by: -4 -19 |