Atkin-Lehner |
3+ 5+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
59475d |
Isogeny class |
Conductor |
59475 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
88431890625 = 32 · 56 · 132 · 612 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1613,-21094] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:52:1] [-218:581:8] |
Generators of the group modulo torsion |
j |
29704593673/5659641 |
j-invariant |
L |
5.7632727135345 |
L(r)(E,1)/r! |
Ω |
0.76329503816812 |
Real period |
R |
3.7752588614869 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999794 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2379b2 |
Quadratic twists by: 5 |