Atkin-Lehner |
3+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
127581f |
Isogeny class |
Conductor |
127581 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18190032 |
Modular degree for the optimal curve |
Δ |
-3.4297422431182E+19 |
Discriminant |
Eigenvalues |
-2 3+ -4 -1 -2 1 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-35327610,-80808838048] |
[a1,a2,a3,a4,a6] |
Generators |
[28705:4749373:1] |
Generators of the group modulo torsion |
j |
-225622257664/1587 |
j-invariant |
L |
0.54556486142262 |
L(r)(E,1)/r! |
Ω |
0.030962841554493 |
Real period |
R |
8.8099934475066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999816718 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127581g1 |
Quadratic twists by: -43 |