Atkin-Lehner |
2+ 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
31974b |
Isogeny class |
Conductor |
31974 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.2500594913102E+24 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 6 4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-51374336,-131131164850] |
[a1,a2,a3,a4,a6] |
j |
99088945018143625/8260256268288 |
j-invariant |
L |
4.0817122824683 |
L(r)(E,1)/r! |
Ω |
0.056690448367565 |
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 |
95922g3 438d3 |
Quadratic twists by: -3 73 |