Atkin-Lehner |
2+ 3+ 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
106800b |
Isogeny class |
Conductor |
106800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1129360338000000000 = 210 · 32 · 59 · 894 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-666008,203080512] |
[a1,a2,a3,a4,a6] |
j |
2041938789387844/70585021125 |
j-invariant |
L |
2.1848794427642 |
L(r)(E,1)/r! |
Ω |
0.27310993072713 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
53400s4 21360e4 |
Quadratic twists by: -4 5 |