Atkin-Lehner |
2+ 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
85200i |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-46583100000000 = -1 · 28 · 38 · 58 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6092,-274688] |
[a1,a2,a3,a4,a6] |
j |
6249886256/11645775 |
j-invariant |
L |
1.3345232812928 |
L(r)(E,1)/r! |
Ω |
0.33363083273972 |
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 |
42600z2 17040g2 |
Quadratic twists by: -4 5 |