Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
127050hb |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
9123840 |
Modular degree for the optimal curve |
Δ |
4.6422095166563E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14898188,-22110361008] |
[a1,a2,a3,a4,a6] |
Generators |
[-2328243718:-3175591066:1030301] |
Generators of the group modulo torsion |
j |
9925899473771/12600000 |
j-invariant |
L |
12.261777513317 |
L(r)(E,1)/r! |
Ω |
0.076850959889507 |
Real period |
R |
13.296057638235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005205 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410s1 127050dg1 |
Quadratic twists by: 5 -11 |