Atkin-Lehner |
2- 13+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
90896l |
Isogeny class |
Conductor |
90896 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
320046997504 = 213 · 132 · 19 · 233 |
Discriminant |
Eigenvalues |
2- 1 1 4 3 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1880,14996] |
[a1,a2,a3,a4,a6] |
Generators |
[140:1586:1] |
Generators of the group modulo torsion |
j |
179501589721/78136474 |
j-invariant |
L |
10.66808883213 |
L(r)(E,1)/r! |
Ω |
0.86992684515939 |
Real period |
R |
3.0658005537081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016712 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11362a1 |
Quadratic twists by: -4 |