Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
67760cm |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.7262561954944E+21 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23732980,-44448862500] |
[a1,a2,a3,a4,a6] |
Generators |
[-27192013362:-56272312803:9800344] |
Generators of the group modulo torsion |
j |
3259751350395879376/3806353980275 |
j-invariant |
L |
10.969410493377 |
L(r)(E,1)/r! |
Ω |
0.068405643771481 |
Real period |
R |
13.36318892226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000521 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16940f4 6160i4 |
Quadratic twists by: -4 -11 |