Atkin-Lehner |
2- 3- 5+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
111690bi |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
2460754080 = 25 · 36 · 5 · 172 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -3 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-338,177] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:35:1] |
Generators of the group modulo torsion |
j |
5841725401/3375520 |
j-invariant |
L |
9.1733055168322 |
L(r)(E,1)/r! |
Ω |
1.229734044902 |
Real period |
R |
0.74595849530579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999337401 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12410f1 |
Quadratic twists by: -3 |