Atkin-Lehner |
2- 3- 5+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
120780n |
Isogeny class |
Conductor |
120780 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
308826237877344000 = 28 · 311 · 53 · 114 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1480143,-692596442] |
[a1,a2,a3,a4,a6] |
Generators |
[1478:18666:1] [185218:28142793:8] |
Generators of the group modulo torsion |
j |
1921618828086805456/1654804515375 |
j-invariant |
L |
9.645815534483 |
L(r)(E,1)/r! |
Ω |
0.13688191978724 |
Real period |
R |
35.234074558093 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995913 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40260n2 |
Quadratic twists by: -3 |