Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050fe |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1149603840 |
Modular degree for the optimal curve |
Δ |
-6.0605593685351E+33 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 1 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-85699054713,10357271288042031] |
[a1,a2,a3,a4,a6] |
Generators |
[77332029273327547020899775:49193762046567055656514116426:852874099320406422923] |
Generators of the group modulo torsion |
j |
-20782141595587068688417129/1809469231117340625000 |
j-invariant |
L |
9.2856739938273 |
L(r)(E,1)/r! |
Ω |
0.013149971937426 |
Real period |
R |
39.229800633006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25410ba1 127050x1 |
Quadratic twists by: 5 -11 |