Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
13776bb |
Isogeny class |
Conductor |
13776 |
Conductor |
∏ cp |
399 |
Product of Tamagawa factors cp |
deg |
3064320 |
Modular degree for the optimal curve |
Δ |
-1.9875813915251E+25 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -2 1 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43977092,242078256696] |
[a1,a2,a3,a4,a6] |
Generators |
[5671:418446:1] |
Generators of the group modulo torsion |
j |
-36742041300293123413614928/77639898106449639295461 |
j-invariant |
L |
4.6308695547086 |
L(r)(E,1)/r! |
Ω |
0.060848169027266 |
Real period |
R |
0.19074015776829 |
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 |
3444c1 55104cm1 41328cc1 96432be1 |
Quadratic twists by: -4 8 -3 -7 |