Atkin-Lehner |
2- 3- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
112176r |
Isogeny class |
Conductor |
112176 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.7458782300824E+23 |
Discriminant |
Eigenvalues |
2- 3- 2 2 0 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14456619,-29184671142] |
[a1,a2,a3,a4,a6] |
j |
-111901637620233904617/58469108678494208 |
j-invariant |
L |
2.7204697015657 |
L(r)(E,1)/r! |
Ω |
0.037784308596025 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14022j2 12464b2 |
Quadratic twists by: -4 -3 |