Atkin-Lehner |
2- 3- 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
122640cl |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1221351548928000 = 214 · 3 · 53 · 7 · 734 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-897776,-327711276] |
[a1,a2,a3,a4,a6] |
j |
19537465401277650289/298181530500 |
j-invariant |
L |
1.2407884553806 |
L(r)(E,1)/r! |
Ω |
0.15509861305715 |
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 |
15330p4 |
Quadratic twists by: -4 |