Atkin-Lehner |
2- 3- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17298p |
Isogeny class |
Conductor |
17298 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
111600 |
Modular degree for the optimal curve |
Δ |
2487030265177956 = 22 · 36 · 318 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 -3 5 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-39101,-1750687] |
[a1,a2,a3,a4,a6] |
Generators |
[-11478:95965:216] |
Generators of the group modulo torsion |
j |
10633/4 |
j-invariant |
L |
8.8403278329919 |
L(r)(E,1)/r! |
Ω |
0.35036568512817 |
Real period |
R |
4.2052861758603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1922a1 17298u1 |
Quadratic twists by: -3 -31 |