Atkin-Lehner |
2+ 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
125120n |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-4.9697485770824E+20 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 6 1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37715681,-89145871519] |
[a1,a2,a3,a4,a6] |
j |
-22633392930067758529081/1895808630784000 |
j-invariant |
L |
4.386310023768 |
L(r)(E,1)/r! |
Ω |
0.030460490125574 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
36 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120bm2 3910f2 |
Quadratic twists by: -4 8 |