Atkin-Lehner |
2- 3+ 7- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
119196d |
Isogeny class |
Conductor |
119196 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
30460776192 = 28 · 33 · 7 · 114 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4695,-123538] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:6:1] [323:5662:1] |
Generators of the group modulo torsion |
j |
1655872038000/4406941 |
j-invariant |
L |
12.273319357618 |
L(r)(E,1)/r! |
Ω |
0.57684631495145 |
Real period |
R |
7.0921948332701 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999995233 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119196f2 |
Quadratic twists by: -3 |