Atkin-Lehner |
3- 11- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52173q |
Isogeny class |
Conductor |
52173 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
291840 |
Modular degree for the optimal curve |
Δ |
18924783966780417 = 311 · 113 · 174 · 312 |
Discriminant |
Eigenvalues |
-1 3- -2 2 11- -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-87521,7472432] |
[a1,a2,a3,a4,a6] |
Generators |
[-290:3043:1] |
Generators of the group modulo torsion |
j |
101701731118239433/25959923136873 |
j-invariant |
L |
3.1049878123426 |
L(r)(E,1)/r! |
Ω |
0.3619437291065 |
Real period |
R |
0.71488732517449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17391f1 |
Quadratic twists by: -3 |