Atkin-Lehner |
2- 5- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
62320bb |
Isogeny class |
Conductor |
62320 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-1.6227718523555E+23 |
Discriminant |
Eigenvalues |
2- 2 5- 4 0 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2832160,19469049600] |
[a1,a2,a3,a4,a6] |
j |
-613362572482128452641/39618453426647104000 |
j-invariant |
L |
6.0780819612369 |
L(r)(E,1)/r! |
Ω |
0.08441780498579 |
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 |
7790j2 |
Quadratic twists by: -4 |