Atkin-Lehner |
2+ 3- 5+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
66330j |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
57445229160000 = 26 · 311 · 54 · 112 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-368775,86288125] |
[a1,a2,a3,a4,a6] |
j |
7608188450544620401/78800040000 |
j-invariant |
L |
2.2676008755651 |
L(r)(E,1)/r! |
Ω |
0.56690021952844 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22110m1 |
Quadratic twists by: -3 |