Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488hl |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
218130784175259648 = 219 · 38 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-330913,-69848353] |
[a1,a2,a3,a4,a6] |
j |
129938649625/7072758 |
j-invariant |
L |
3.195662735625 |
L(r)(E,1)/r! |
Ω |
0.19972890190529 |
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 |
103488bm2 25872br2 14784bx2 |
Quadratic twists by: -4 8 -7 |