Atkin-Lehner |
2+ 3+ 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
51150a |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.8175339544678E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-434885500,-3490804700000] |
[a1,a2,a3,a4,a6] |
j |
582141379245599923753913281/11632217308593750000 |
j-invariant |
L |
1.0579285114265 |
L(r)(E,1)/r! |
Ω |
0.033060265983655 |
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 |
10230bd3 |
Quadratic twists by: 5 |