Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050eo |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
4181760 |
Modular degree for the optimal curve |
Δ |
-3.0930761174988E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,645774,-177997052] |
[a1,a2,a3,a4,a6] |
Generators |
[692:-24849:1] |
Generators of the group modulo torsion |
j |
26898633480575/27935373312 |
j-invariant |
L |
6.4895529522886 |
L(r)(E,1)/r! |
Ω |
0.1131558733178 |
Real period |
R |
0.86894790949611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032184 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050fn1 11550cq1 |
Quadratic twists by: 5 -11 |