Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680ck |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
77828982003302400 = 215 · 39 · 52 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 6 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3107403,2108315898] |
[a1,a2,a3,a4,a6] |
j |
8527173507/200 |
j-invariant |
L |
1.2717672357717 |
L(r)(E,1)/r! |
Ω |
0.3179419961031 |
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 |
15210z4 121680cx2 720g4 |
Quadratic twists by: -4 -3 13 |