Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59488w |
Isogeny class |
Conductor |
59488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-656969945156096 = -1 · 29 · 112 · 139 |
Discriminant |
Eigenvalues |
2- -1 -3 -1 11- 13+ -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24392,-1907816] |
[a1,a2,a3,a4,a6] |
Generators |
[2074:24167:8] |
Generators of the group modulo torsion |
j |
-649461896/265837 |
j-invariant |
L |
2.3513774515356 |
L(r)(E,1)/r! |
Ω |
0.18724482446355 |
Real period |
R |
1.5697212581634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59488d1 118976f1 4576b1 |
Quadratic twists by: -4 8 13 |