Atkin-Lehner |
2- 3- 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150fh |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-5762016000 = -1 · 28 · 36 · 53 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -6 13- 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,310,-3063] |
[a1,a2,a3,a4,a6] |
Generators |
[9:15:1] |
Generators of the group modulo torsion |
j |
36264691/63232 |
j-invariant |
L |
11.680532303899 |
L(r)(E,1)/r! |
Ω |
0.70856381733825 |
Real period |
R |
1.030299952243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025054 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12350j1 111150ce1 |
Quadratic twists by: -3 5 |