Atkin-Lehner |
2- 3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
59220o |
Isogeny class |
Conductor |
59220 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
42723779132160 = 28 · 38 · 5 · 72 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24917583,47874801238] |
[a1,a2,a3,a4,a6] |
Generators |
[8473822:53218971:2744] |
Generators of the group modulo torsion |
j |
9167986374707615878096/228929715 |
j-invariant |
L |
6.6024417908351 |
L(r)(E,1)/r! |
Ω |
0.33684485891347 |
Real period |
R |
9.8004194161034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997195 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
19740v4 |
Quadratic twists by: -3 |