Atkin-Lehner |
2- 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
122760bm |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
17152402354560000 = 210 · 310 · 54 · 114 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-301320363,-2013218147338] |
[a1,a2,a3,a4,a6] |
Generators |
[121747:42022332:1] |
Generators of the group modulo torsion |
j |
4053047308810753711566244/22977219375 |
j-invariant |
L |
2.1024457122698 |
L(r)(E,1)/r! |
Ω |
0.036236182159289 |
Real period |
R |
7.2525771987844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000210584 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40920m4 |
Quadratic twists by: -3 |