Atkin-Lehner |
2+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
111328j |
Isogeny class |
Conductor |
111328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1676496367616 = 212 · 78 · 71 |
Discriminant |
Eigenvalues |
2+ -2 2 7- -4 0 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18097,-941025] |
[a1,a2,a3,a4,a6] |
j |
1360251712/3479 |
j-invariant |
L |
0.82336553735429 |
L(r)(E,1)/r! |
Ω |
0.41168274239242 |
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 |
111328s2 15904d2 |
Quadratic twists by: -4 -7 |