Atkin-Lehner |
5- 31- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
64325f |
Isogeny class |
Conductor |
64325 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
26280 |
Modular degree for the optimal curve |
Δ |
-1005078125 = -1 · 58 · 31 · 83 |
Discriminant |
Eigenvalues |
1 1 5- 2 -5 -5 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-576,-5577] |
[a1,a2,a3,a4,a6] |
Generators |
[1563286053:885826514:55306341] |
Generators of the group modulo torsion |
j |
-53969305/2573 |
j-invariant |
L |
7.5968333849037 |
L(r)(E,1)/r! |
Ω |
0.4860129791143 |
Real period |
R |
15.630926974479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996304 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64325c1 |
Quadratic twists by: 5 |