Atkin-Lehner |
2+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40222j |
Isogeny class |
Conductor |
40222 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6698539340402 = 2 · 74 · 136 · 172 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 2 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4735,13083] |
[a1,a2,a3,a4,a6] |
j |
2433138625/1387778 |
j-invariant |
L |
2.5714538956554 |
L(r)(E,1)/r! |
Ω |
0.64286347391722 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
238d2 |
Quadratic twists by: 13 |