Atkin-Lehner |
2+ 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
58608t |
Isogeny class |
Conductor |
58608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
30078563328 = 210 · 38 · 112 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 4 -4 11- 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7203,-235150] |
[a1,a2,a3,a4,a6] |
j |
55365148804/40293 |
j-invariant |
L |
4.1460082398578 |
L(r)(E,1)/r! |
Ω |
0.51825102971915 |
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 |
29304o2 19536d2 |
Quadratic twists by: -4 -3 |