Atkin-Lehner |
3- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
57717r |
Isogeny class |
Conductor |
57717 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1482624 |
Modular degree for the optimal curve |
Δ |
-4.5791820624115E+20 |
Discriminant |
Eigenvalues |
-1 3- -1 1 11- -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3626393,-2849555640] |
[a1,a2,a3,a4,a6] |
Generators |
[932880:900560120:1] |
Generators of the group modulo torsion |
j |
-33750420916201/2930345991 |
j-invariant |
L |
3.4455482543817 |
L(r)(E,1)/r! |
Ω |
0.054431888187748 |
Real period |
R |
10.550029798864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000136 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19239g1 57717q1 |
Quadratic twists by: -3 -11 |