Atkin-Lehner |
2- 3+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
78144ck |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
659500351488 = 214 · 35 · 112 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11- -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-627313,-191029199] |
[a1,a2,a3,a4,a6] |
j |
1666315860501346000/40252707 |
j-invariant |
L |
1.3571204880981 |
L(r)(E,1)/r! |
Ω |
0.16964006324589 |
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 |
78144be2 19536z2 |
Quadratic twists by: -4 8 |