Atkin-Lehner |
2- 3- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
18666j |
Isogeny class |
Conductor |
18666 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-72573408 = -1 · 25 · 37 · 17 · 61 |
Discriminant |
Eigenvalues |
2- 3- -2 1 -5 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,49,375] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:18:1] |
Generators of the group modulo torsion |
j |
18191447/99552 |
j-invariant |
L |
6.64359831522 |
L(r)(E,1)/r! |
Ω |
1.4017587812347 |
Real period |
R |
0.23697366494712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6222a1 |
Quadratic twists by: -3 |