Atkin-Lehner |
2+ 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59040b |
Isogeny class |
Conductor |
59040 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
544000 |
Modular degree for the optimal curve |
Δ |
-5004987883200000 = -1 · 29 · 33 · 55 · 415 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 5 0 4 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-189987,32055034] |
[a1,a2,a3,a4,a6] |
j |
-54860737570622424/362050628125 |
j-invariant |
L |
4.3414236428477 |
L(r)(E,1)/r! |
Ω |
0.43414236466469 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59040c1 118080de1 59040bf1 |
Quadratic twists by: -4 8 -3 |