Atkin-Lehner |
2+ 3- 5- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
66330w |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
126758603980800 = 220 · 38 · 52 · 11 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-34164,-2360880] |
[a1,a2,a3,a4,a6] |
j |
6049360606955329/173880115200 |
j-invariant |
L |
2.8142311769012 |
L(r)(E,1)/r! |
Ω |
0.35177889742602 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22110n1 |
Quadratic twists by: -3 |