Atkin-Lehner |
2+ 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
1122c |
Isogeny class |
Conductor |
1122 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
10704361149504 = 26 · 314 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-99146,11973780] |
[a1,a2,a3,a4,a6] |
j |
107784459654566688937/10704361149504 |
j-invariant |
L |
0.69047895122718 |
L(r)(E,1)/r! |
Ω |
0.69047895122718 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8976y2 35904x2 3366m2 28050dm2 |
Quadratic twists by: -4 8 -3 5 |