Atkin-Lehner |
2- 5+ 11+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121550bm |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
8.5725519177289E+20 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11+ 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2765380,-1071042753] |
[a1,a2,a3,a4,a6] |
Generators |
[-425:5441:1] |
Generators of the group modulo torsion |
j |
149681453444522642889/54864332273465000 |
j-invariant |
L |
9.9258909129499 |
L(r)(E,1)/r! |
Ω |
0.12067347287074 |
Real period |
R |
6.8545103958763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021522 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24310a4 |
Quadratic twists by: 5 |