Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680em |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
974303552485785600 = 216 · 36 · 52 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2109627,-1178431254] |
[a1,a2,a3,a4,a6] |
j |
72043225281/67600 |
j-invariant |
L |
1.00221763236 |
L(r)(E,1)/r! |
Ω |
0.12527736236283 |
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 |
15210bm2 13520n2 9360bl2 |
Quadratic twists by: -4 -3 13 |