Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
47432s |
Isogeny class |
Conductor |
47432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5271552 |
Modular degree for the optimal curve |
Δ |
-1.7051183645292E+20 |
Discriminant |
Eigenvalues |
2- 3 3 7- 11+ -4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10695916,13478680292] |
[a1,a2,a3,a4,a6] |
Generators |
[182304045:852999301:91125] |
Generators of the group modulo torsion |
j |
-1905527808/2401 |
j-invariant |
L |
12.826073701234 |
L(r)(E,1)/r! |
Ω |
0.1804896435811 |
Real period |
R |
8.8828321716619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94864k1 6776d1 47432e1 |
Quadratic twists by: -4 -7 -11 |