Atkin-Lehner |
2+ 3+ 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61050i |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
21167242874250000 = 24 · 3 · 56 · 11 · 376 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11- 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1688450,-845137500] |
[a1,a2,a3,a4,a6] |
j |
34069730739753390625/1354703543952 |
j-invariant |
L |
2.383971241257 |
L(r)(E,1)/r! |
Ω |
0.13244284652071 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2442i3 |
Quadratic twists by: 5 |