Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680ep |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.5981014019648E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-219389547,-1250754169574] |
[a1,a2,a3,a4,a6] |
j |
81025909800741361/11088090 |
j-invariant |
L |
2.5105879330998 |
L(r)(E,1)/r! |
Ω |
0.039227946596249 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15210bn5 40560bz6 9360bn5 |
Quadratic twists by: -4 -3 13 |