Atkin-Lehner |
2- 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
58608bh |
Isogeny class |
Conductor |
58608 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4451627372544 = 212 · 38 · 112 · 372 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11+ -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5691,-130390] |
[a1,a2,a3,a4,a6] |
j |
6826561273/1490841 |
j-invariant |
L |
2.2328470344774 |
L(r)(E,1)/r! |
Ω |
0.55821175809437 |
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 |
3663e2 19536y2 |
Quadratic twists by: -4 -3 |