Atkin-Lehner |
2+ 3- 5- 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
122670x |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
352 |
Product of Tamagawa factors cp |
Δ |
3.5078623462972E+33 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-223450829019,-40555622450896475] |
[a1,a2,a3,a4,a6] |
j |
1692552289488944759508559892696338609/4811882505208740234375000000000 |
j-invariant |
L |
2.4446725604543 |
L(r)(E,1)/r! |
Ω |
0.0069450963811245 |
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 |
40890w2 |
Quadratic twists by: -3 |