Atkin-Lehner |
2+ 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600bj |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
11016000000000 = 212 · 34 · 59 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 6 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-283033,58050937] |
[a1,a2,a3,a4,a6] |
j |
39179284145344/172125 |
j-invariant |
L |
2.5356976234744 |
L(r)(E,1)/r! |
Ω |
0.63392439760191 |
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 |
81600ed2 40800bv1 16320y2 |
Quadratic twists by: -4 8 5 |