Atkin-Lehner |
2- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72128bw |
Isogeny class |
Conductor |
72128 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1703131408498688 = 218 · 710 · 23 |
Discriminant |
Eigenvalues |
2- 0 2 7- 4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-387884,92961232] |
[a1,a2,a3,a4,a6] |
j |
209267191953/55223 |
j-invariant |
L |
3.6896347656066 |
L(r)(E,1)/r! |
Ω |
0.4612043474892 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72128b4 18032x3 10304w3 |
Quadratic twists by: -4 8 -7 |