Atkin-Lehner |
2+ 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
1122c |
Isogeny class |
Conductor |
1122 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4354701912 = 23 · 37 · 114 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1586306,768343356] |
[a1,a2,a3,a4,a6] |
j |
441453577446719855661097/4354701912 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
8976y3 35904x4 3366m3 28050dm4 |
Quadratic twists by: -4 8 -3 5 |