Atkin-Lehner |
2- 3+ 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
96720bo |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
904792232448000 = 212 · 33 · 53 · 133 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -6 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40021,2734045] |
[a1,a2,a3,a4,a6] |
Generators |
[36:1157:1] |
Generators of the group modulo torsion |
j |
1730766274822144/220896541125 |
j-invariant |
L |
5.000443020353 |
L(r)(E,1)/r! |
Ω |
0.4801102550539 |
Real period |
R |
3.4717324299847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999860742 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6045i2 |
Quadratic twists by: -4 |