Atkin-Lehner |
2+ 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
84032d |
Isogeny class |
Conductor |
84032 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-219445870592 = -1 · 214 · 13 · 1013 |
Discriminant |
Eigenvalues |
2+ -1 0 2 0 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10193,-393359] |
[a1,a2,a3,a4,a6] |
j |
-7149117778000/13393913 |
j-invariant |
L |
1.4252563958578 |
L(r)(E,1)/r! |
Ω |
0.23754272871971 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84032q2 5252b2 |
Quadratic twists by: -4 8 |