Atkin-Lehner |
2- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
64192ck |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-15559434174464 = -1 · 218 · 172 · 593 |
Discriminant |
Eigenvalues |
2- 3 -1 -1 0 2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4052,161744] |
[a1,a2,a3,a4,a6] |
Generators |
[6564:106352:27] |
Generators of the group modulo torsion |
j |
28066748319/59354531 |
j-invariant |
L |
11.126891838395 |
L(r)(E,1)/r! |
Ω |
0.48403811963128 |
Real period |
R |
5.7469088631286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992724 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64192bh1 16048bf1 |
Quadratic twists by: -4 8 |