Atkin-Lehner |
2- 3- 5+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
22110n |
Isogeny class |
Conductor |
22110 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
173880115200 = 220 · 32 · 52 · 11 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3796,87440] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:436:1] |
Generators of the group modulo torsion |
j |
6049360606955329/173880115200 |
j-invariant |
L |
9.2367549416454 |
L(r)(E,1)/r! |
Ω |
1.0119425900887 |
Real period |
R |
1.8255492025167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
66330w1 110550e1 |
Quadratic twists by: -3 5 |