Atkin-Lehner |
2- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115192t |
Isogeny class |
Conductor |
115192 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1393920 |
Modular degree for the optimal curve |
Δ |
-26120915803136 = -1 · 210 · 7 · 118 · 17 |
Discriminant |
Eigenvalues |
2- 1 -3 7+ 11- 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2656232,1665391616] |
[a1,a2,a3,a4,a6] |
Generators |
[25401:242:27] |
Generators of the group modulo torsion |
j |
-9442357751332/119 |
j-invariant |
L |
6.0451210796179 |
L(r)(E,1)/r! |
Ω |
0.47236397680514 |
Real period |
R |
2.1329318824565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999373184 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115192o1 |
Quadratic twists by: -11 |