Atkin-Lehner |
2- 3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
84084f |
Isogeny class |
Conductor |
84084 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15344640 |
Modular degree for the optimal curve |
Δ |
-3.0284087242552E+25 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3550997,-264779267598] |
[a1,a2,a3,a4,a6] |
Generators |
[2523211118104436219703010618360318479102:20413077757698244374263611529986817874617:380660870075851119690647880033947544] |
Generators of the group modulo torsion |
j |
-2630670943227215872/16088155893033667443 |
j-invariant |
L |
6.4191200601323 |
L(r)(E,1)/r! |
Ω |
0.030040209051903 |
Real period |
R |
53.421066819487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12012f1 |
Quadratic twists by: -7 |