Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
6150bb |
Isogeny class |
Conductor |
6150 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
3321000000 = 26 · 34 · 56 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1663,25817] |
[a1,a2,a3,a4,a6] |
Generators |
[2:149:1] |
Generators of the group modulo torsion |
j |
32553430057/212544 |
j-invariant |
L |
6.5315083528406 |
L(r)(E,1)/r! |
Ω |
1.4205792546681 |
Real period |
R |
0.19157409238103 |
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 |
49200bq1 18450o1 246d1 |
Quadratic twists by: -4 -3 5 |