Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680en |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
729646706280960000 = 212 · 310 · 54 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-243867,-21438326] |
[a1,a2,a3,a4,a6] |
j |
111284641/50625 |
j-invariant |
L |
3.5884150677326 |
L(r)(E,1)/r! |
Ω |
0.22427597938251 |
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 |
7605q4 40560ca3 720h3 |
Quadratic twists by: -4 -3 13 |