Atkin-Lehner |
3- 7- 31- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
119133i |
Isogeny class |
Conductor |
119133 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-67548411 = -1 · 36 · 72 · 31 · 61 |
Discriminant |
Eigenvalues |
0 3- 1 7- -5 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-12,-396] |
[a1,a2,a3,a4,a6] |
Generators |
[8:4:1] [82:185:8] |
Generators of the group modulo torsion |
j |
-262144/92659 |
j-invariant |
L |
10.553946973063 |
L(r)(E,1)/r! |
Ω |
0.87596072292026 |
Real period |
R |
3.0121062217086 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991861 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13237e1 |
Quadratic twists by: -3 |