Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6930ba |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
196932105562500 = 22 · 312 · 56 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-141773,-20499919] |
[a1,a2,a3,a4,a6] |
Generators |
[42846:3105983:8] |
Generators of the group modulo torsion |
j |
432288716775559561/270140062500 |
j-invariant |
L |
5.9705527347848 |
L(r)(E,1)/r! |
Ω |
0.24604678900059 |
Real period |
R |
6.0664810532951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55440cq2 2310l2 34650q2 48510eg2 |
Quadratic twists by: -4 -3 5 -7 |