Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680ev |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8.3091226881624E+27 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21235046547,-1191036292672174] |
[a1,a2,a3,a4,a6] |
j |
73474353581350183614361/576510977802240 |
j-invariant |
L |
3.6018779967238 |
L(r)(E,1)/r! |
Ω |
0.012506519218519 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
36 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15210u4 40560bi4 9360bo4 |
Quadratic twists by: -4 -3 13 |