Atkin-Lehner |
3- 5- 37- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
111555o |
Isogeny class |
Conductor |
111555 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
226801341005625 = 310 · 54 · 372 · 672 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25817,1429184] |
[a1,a2,a3,a4,a6] |
j |
2610343960413769/311112950625 |
j-invariant |
L |
2.1599424988247 |
L(r)(E,1)/r! |
Ω |
0.53998579499918 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37185d2 |
Quadratic twists by: -3 |