Atkin-Lehner |
2- 3- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
117648bj |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-878274675707314176 = -1 · 215 · 314 · 194 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 4 4 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,176469,34912730] |
[a1,a2,a3,a4,a6] |
j |
203536128687767/294132411864 |
j-invariant |
L |
1.5215534856273 |
L(r)(E,1)/r! |
Ω |
0.19019438674195 |
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 |
14706q4 39216q3 |
Quadratic twists by: -4 -3 |