Atkin-Lehner |
2+ 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
84032f |
Isogeny class |
Conductor |
84032 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1495686875812200448 = -1 · 233 · 132 · 1013 |
Discriminant |
Eigenvalues |
2+ 2 0 -1 0 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-554913,-169452511] |
[a1,a2,a3,a4,a6] |
j |
-72087384799131625/5705592635392 |
j-invariant |
L |
2.0895763869554 |
L(r)(E,1)/r! |
Ω |
0.08706568670572 |
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 |
84032r2 2626c2 |
Quadratic twists by: -4 8 |