Atkin-Lehner |
2+ 3- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
107328ba |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
18374168936448 = 220 · 36 · 13 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 -6 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19297,1004543] |
[a1,a2,a3,a4,a6] |
j |
3031626441817/70091892 |
j-invariant |
L |
4.1281646049221 |
L(r)(E,1)/r! |
Ω |
0.68802742996614 |
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 |
107328bt2 3354a2 |
Quadratic twists by: -4 8 |