Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120fs |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1824768 |
Modular degree for the optimal curve |
Δ |
8.3644633648576E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- 1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2152227,-1132832734] |
[a1,a2,a3,a4,a6] |
Generators |
[-85795:573264:125] |
Generators of the group modulo torsion |
j |
14235529/1080 |
j-invariant |
L |
7.0575874427515 |
L(r)(E,1)/r! |
Ω |
0.12524398575494 |
Real period |
R |
7.0438386755984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954342 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10890w1 29040cb1 87120fn1 |
Quadratic twists by: -4 -3 -11 |