Atkin-Lehner |
2+ 7- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68306f |
Isogeny class |
Conductor |
68306 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8412768 |
Modular degree for the optimal curve |
Δ |
1.082388100608E+23 |
Discriminant |
Eigenvalues |
2+ 2 1 7- -2 2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-49838807,-134517754027] |
[a1,a2,a3,a4,a6] |
j |
48467011259935500169/383179802279936 |
j-invariant |
L |
1.4211983486163 |
L(r)(E,1)/r! |
Ω |
0.056847935131375 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68306c1 |
Quadratic twists by: -7 |