Atkin-Lehner |
3+ 5+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
50325d |
Isogeny class |
Conductor |
50325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
209320546875 = 3 · 57 · 114 · 61 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1786202000,-29057289114375] |
[a1,a2,a3,a4,a6] |
j |
40336238888072241391643224321/13396515 |
j-invariant |
L |
1.4862671740398 |
L(r)(E,1)/r! |
Ω |
0.023222924584211 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
64 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10065l7 |
Quadratic twists by: 5 |