Atkin-Lehner |
2- 3+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
22704ba |
Isogeny class |
Conductor |
22704 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
36197509392 = 24 · 314 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 11- 0 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2278,-40085] |
[a1,a2,a3,a4,a6] |
j |
81743931616000/2262344337 |
j-invariant |
L |
1.3843929651148 |
L(r)(E,1)/r! |
Ω |
0.69219648255738 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5676c1 90816cc1 68112bq1 |
Quadratic twists by: -4 8 -3 |