Atkin-Lehner |
3- 5+ 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
113475o |
Isogeny class |
Conductor |
113475 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-184467796875 = -1 · 33 · 56 · 173 · 89 |
Discriminant |
Eigenvalues |
-2 3- 5+ 1 1 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,442,-20206] |
[a1,a2,a3,a4,a6] |
Generators |
[73:637:1] |
Generators of the group modulo torsion |
j |
609800192/11805939 |
j-invariant |
L |
5.1273552441198 |
L(r)(E,1)/r! |
Ω |
0.49174851254733 |
Real period |
R |
0.28963287373345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999800355 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4539a1 |
Quadratic twists by: 5 |