Atkin-Lehner |
2- 3- 5+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
109980n |
Isogeny class |
Conductor |
109980 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2467584 |
Modular degree for the optimal curve |
Δ |
-2.28920867955E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 3 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1235568,-576572492] |
[a1,a2,a3,a4,a6] |
Generators |
[895935307:243093543093:12167] |
Generators of the group modulo torsion |
j |
-1117779587499360256/122664216796875 |
j-invariant |
L |
8.2346886832707 |
L(r)(E,1)/r! |
Ω |
0.071157963203453 |
Real period |
R |
14.46550795732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023924 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36660j1 |
Quadratic twists by: -3 |