Atkin-Lehner |
2+ 41- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
112832j |
Isogeny class |
Conductor |
112832 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4593118117888 = -1 · 215 · 41 · 434 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 4 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-716,-103376] |
[a1,a2,a3,a4,a6] |
j |
-1238833224/140170841 |
j-invariant |
L |
2.7424989965435 |
L(r)(E,1)/r! |
Ω |
0.34281230623243 |
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 |
112832m3 56416k2 |
Quadratic twists by: -4 8 |