Atkin-Lehner |
5- 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67925n |
Isogeny class |
Conductor |
67925 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5204949470703125 = 59 · 112 · 132 · 194 |
Discriminant |
Eigenvalues |
1 -2 5- -4 11- 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-102326,-12119577] |
[a1,a2,a3,a4,a6] |
Generators |
[-157:364:1] |
Generators of the group modulo torsion |
j |
60666028486757/2664934129 |
j-invariant |
L |
2.8825997865148 |
L(r)(E,1)/r! |
Ω |
0.26765875447743 |
Real period |
R |
2.6924206093342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972936 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67925p2 |
Quadratic twists by: 5 |