Atkin-Lehner |
2+ 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
64448c |
Isogeny class |
Conductor |
64448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-527958016 = -1 · 219 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ -2 -2 -1 2 -3 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-769,8031] |
[a1,a2,a3,a4,a6] |
Generators |
[11:32:1] |
Generators of the group modulo torsion |
j |
-192100033/2014 |
j-invariant |
L |
3.1079472033031 |
L(r)(E,1)/r! |
Ω |
1.6542901629757 |
Real period |
R |
0.46967987733979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999348 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64448l1 2014c1 |
Quadratic twists by: -4 8 |