Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
67760cn |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2444470730240000 = 212 · 54 · 72 · 117 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11- -4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-106520,13203632] |
[a1,a2,a3,a4,a6] |
Generators |
[-326:3630:1] |
Generators of the group modulo torsion |
j |
18420660721/336875 |
j-invariant |
L |
10.124444469483 |
L(r)(E,1)/r! |
Ω |
0.45876580521298 |
Real period |
R |
1.3793045867431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995502 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4235e2 6160l2 |
Quadratic twists by: -4 -11 |