Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
127050a |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8847360 |
Modular degree for the optimal curve |
Δ |
9.5850016416E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8041750,7403276500] |
[a1,a2,a3,a4,a6] |
Generators |
[28758:1249609:8] |
Generators of the group modulo torsion |
j |
2765523913831303451/460886630400000 |
j-invariant |
L |
4.1892208843706 |
L(r)(E,1)/r! |
Ω |
0.1235204981724 |
Real period |
R |
8.4787967952994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000162653 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410cw1 127050fx1 |
Quadratic twists by: 5 -11 |