Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680m |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
58551896183040000 = 211 · 36 · 54 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-856323,-304781022] |
[a1,a2,a3,a4,a6] |
j |
9636491538/8125 |
j-invariant |
L |
2.5112032618447 |
L(r)(E,1)/r! |
Ω |
0.1569502944086 |
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 |
60840h4 13520h3 9360r3 |
Quadratic twists by: -4 -3 13 |