Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080ch |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
24791132160000 = 214 · 310 · 54 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41052,-3192496] |
[a1,a2,a3,a4,a6] |
Generators |
[-112:20:1] |
Generators of the group modulo torsion |
j |
640588599376/2075625 |
j-invariant |
L |
5.8501998499437 |
L(r)(E,1)/r! |
Ω |
0.33546759868815 |
Real period |
R |
2.1798676778909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000080449 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080fp1 14760e1 39360i1 |
Quadratic twists by: -4 8 -3 |