Atkin-Lehner |
2- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
122018bd |
Isogeny class |
Conductor |
122018 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
164968336 = 24 · 134 · 192 |
Discriminant |
Eigenvalues |
2- 0 3 -3 3 13+ -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-201,953] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:40:1] |
Generators of the group modulo torsion |
j |
86697/16 |
j-invariant |
L |
12.098710913205 |
L(r)(E,1)/r! |
Ω |
1.7256624123343 |
Real period |
R |
0.58425442808554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036169 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122018g1 122018b1 |
Quadratic twists by: 13 -19 |