Atkin-Lehner |
2- 3- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
124608cy |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6890323968 = 217 · 34 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11+ -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8971777,10340469503] |
[a1,a2,a3,a4,a6] |
Generators |
[-1633:143664:1] |
Generators of the group modulo torsion |
j |
609325348104099171074/52569 |
j-invariant |
L |
11.175776743327 |
L(r)(E,1)/r! |
Ω |
0.51353811231711 |
Real period |
R |
5.4405781093742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999622468 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
124608u4 31152e4 |
Quadratic twists by: -4 8 |