Atkin-Lehner |
2- 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080fg |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
-7263027000000 = -1 · 26 · 311 · 56 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -5 -6 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55542,5039926] |
[a1,a2,a3,a4,a6] |
Generators |
[17:2025:1] [57:1435:1] |
Generators of the group modulo torsion |
j |
-406144664367616/155671875 |
j-invariant |
L |
12.777205759318 |
L(r)(E,1)/r! |
Ω |
0.73126468416106 |
Real period |
R |
0.72803129286071 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999975916 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118080fl1 59040g1 39360cq1 |
Quadratic twists by: -4 8 -3 |