Atkin-Lehner |
2- 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65472br |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-9.8742602222469E+20 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11- 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2259553,-1997945087] |
[a1,a2,a3,a4,a6] |
Generators |
[8095636888790962547:-1570665348771047824404:214717347294841] |
Generators of the group modulo torsion |
j |
-4866890555501529625/3766731346987488 |
j-invariant |
L |
3.7975144840734 |
L(r)(E,1)/r! |
Ω |
0.059579678765053 |
Real period |
R |
31.869209120734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000669 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472r2 16368s2 |
Quadratic twists by: -4 8 |