Atkin-Lehner |
2+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
124384c |
Isogeny class |
Conductor |
124384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1741824 |
Modular degree for the optimal curve |
Δ |
-2872207446178304 = -1 · 29 · 139 · 232 |
Discriminant |
Eigenvalues |
2+ 1 3 5 -2 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1668424,828931624] |
[a1,a2,a3,a4,a6] |
Generators |
[450:13018:1] |
Generators of the group modulo torsion |
j |
-207832366624904/1162213 |
j-invariant |
L |
12.903907180376 |
L(r)(E,1)/r! |
Ω |
0.4017356852157 |
Real period |
R |
4.0150487945484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000117141 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124384q1 9568k1 |
Quadratic twists by: -4 13 |