Atkin-Lehner |
2- 3- 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
12090bd |
Isogeny class |
Conductor |
12090 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
8892867204000 = 25 · 34 · 53 · 134 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -2 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20351,-1109895] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:121:1] |
Generators of the group modulo torsion |
j |
932142498189288049/8892867204000 |
j-invariant |
L |
6.9533155144853 |
L(r)(E,1)/r! |
Ω |
0.39994761980764 |
Real period |
R |
0.43463913585919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96720bq2 36270bc2 60450i2 |
Quadratic twists by: -4 -3 5 |