Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72072bo |
Isogeny class |
Conductor |
72072 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
2.0314246060476E+24 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53123691,-132318789626] |
[a1,a2,a3,a4,a6] |
Generators |
[-5266:37422:1] |
Generators of the group modulo torsion |
j |
11105316930674030846546/1360639980688199211 |
j-invariant |
L |
5.6527078870527 |
L(r)(E,1)/r! |
Ω |
0.056370425105947 |
Real period |
R |
2.5069475155238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000562 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24024n2 |
Quadratic twists by: -3 |