Atkin-Lehner |
2- 3- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
35088ba |
Isogeny class |
Conductor |
35088 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
21432168087552 = 218 · 32 · 173 · 432 |
Discriminant |
Eigenvalues |
2- 3- -2 2 2 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12904,-522700] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:102:1] |
Generators of the group modulo torsion |
j |
58019032533097/5232462912 |
j-invariant |
L |
6.3836006946943 |
L(r)(E,1)/r! |
Ω |
0.45051854129191 |
Real period |
R |
1.1807876386892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4386e1 105264bk1 |
Quadratic twists by: -4 -3 |