Atkin-Lehner |
2- 3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350ev |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
2956800 |
Modular degree for the optimal curve |
Δ |
-1.9345603144725E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11+ 13+ -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2997680,-2106035053] |
[a1,a2,a3,a4,a6] |
j |
-2092289714613701/135870354048 |
j-invariant |
L |
3.2006241833455 |
L(r)(E,1)/r! |
Ω |
0.057154003307516 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21450bj1 64350ch1 |
Quadratic twists by: -3 5 |