Atkin-Lehner |
3- 5+ 37- 67- |
Signs for the Atkin-Lehner involutions |
Class |
111555m |
Isogeny class |
Conductor |
111555 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-220132155626865 = -1 · 310 · 5 · 37 · 674 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1305,-713934] |
[a1,a2,a3,a4,a6] |
j |
337008232079/301964548185 |
j-invariant |
L |
4.1792718156395 |
L(r)(E,1)/r! |
Ω |
0.26120447089071 |
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 |
37185i3 |
Quadratic twists by: -3 |