Atkin-Lehner |
2- 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127600bf |
Isogeny class |
Conductor |
127600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-158101504000000000 = -1 · 221 · 59 · 113 · 29 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-385408,93931188] |
[a1,a2,a3,a4,a6] |
Generators |
[362:1408:1] [428:2750:1] |
Generators of the group modulo torsion |
j |
-98925223576249/2470336000 |
j-invariant |
L |
8.2097278305071 |
L(r)(E,1)/r! |
Ω |
0.32326742712641 |
Real period |
R |
0.52908515439767 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999927491 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15950m2 25520n2 |
Quadratic twists by: -4 5 |