Atkin-Lehner |
2- 3- 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
58410bn |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
800 |
Product of Tamagawa factors cp |
Δ |
5.0549821133801E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5468027,3539647851] |
[a1,a2,a3,a4,a6] |
Generators |
[2171:42474:1] |
Generators of the group modulo torsion |
j |
24802077511572642241129/6934131842771020800 |
j-invariant |
L |
11.802607071346 |
L(r)(E,1)/r! |
Ω |
0.12711841948859 |
Real period |
R |
0.46423669830596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999911 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470b2 |
Quadratic twists by: -3 |