Atkin-Lehner |
2+ 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
61920bb |
Isogeny class |
Conductor |
61920 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
5093976776256000 = 29 · 316 · 53 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -6 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43347,-524086] |
[a1,a2,a3,a4,a6] |
j |
24132558086792/13647700125 |
j-invariant |
L |
2.1403709281898 |
L(r)(E,1)/r! |
Ω |
0.35672848830797 |
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 |
61920r2 123840er2 20640p2 |
Quadratic twists by: -4 8 -3 |