Atkin-Lehner |
2- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40222u |
Isogeny class |
Conductor |
40222 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
-2297561084 = -1 · 22 · 7 · 136 · 17 |
Discriminant |
Eigenvalues |
2- 0 2 7- 2 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,306,953] |
[a1,a2,a3,a4,a6] |
Generators |
[2251808:-20333153:32768] |
Generators of the group modulo torsion |
j |
658503/476 |
j-invariant |
L |
10.463046619023 |
L(r)(E,1)/r! |
Ω |
0.92655586760394 |
Real period |
R |
11.292407705622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
238b1 |
Quadratic twists by: 13 |