Atkin-Lehner |
2- 3+ 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67650bo |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
2044956672000000 = 218 · 33 · 56 · 11 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-255763,-49844719] |
[a1,a2,a3,a4,a6] |
j |
118417788018699625/130877227008 |
j-invariant |
L |
3.8215666715184 |
L(r)(E,1)/r! |
Ω |
0.21230925970813 |
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 |
2706d1 |
Quadratic twists by: 5 |