Atkin-Lehner |
3- 5- 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
61335l |
Isogeny class |
Conductor |
61335 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
255588422023828125 = 39 · 58 · 294 · 47 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-159467,-2981266] |
[a1,a2,a3,a4,a6] |
Generators |
[517:6991:1] |
Generators of the group modulo torsion |
j |
615185517375480169/350601401953125 |
j-invariant |
L |
4.1349911066765 |
L(r)(E,1)/r! |
Ω |
0.25841368786257 |
Real period |
R |
1.0000899964266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998539 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20445e4 |
Quadratic twists by: -3 |