Atkin-Lehner |
2- 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
58608bh |
Isogeny class |
Conductor |
58608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4852674883584 = 212 · 37 · 114 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11+ -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-85611,-9640870] |
[a1,a2,a3,a4,a6] |
j |
23239401850153/1625151 |
j-invariant |
L |
2.2328470344774 |
L(r)(E,1)/r! |
Ω |
0.27910587904718 |
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 |
3663e4 19536y4 |
Quadratic twists by: -4 -3 |