Atkin-Lehner |
7- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
55601d |
Isogeny class |
Conductor |
55601 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-9154620212152961 = -1 · 79 · 136 · 47 |
Discriminant |
Eigenvalues |
1 -1 -3 7- -3 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,41571,-3230534] |
[a1,a2,a3,a4,a6] |
Generators |
[70:134:1] [382:8090:1] |
Generators of the group modulo torsion |
j |
1645957774943/1896619529 |
j-invariant |
L |
7.8619365852496 |
L(r)(E,1)/r! |
Ω |
0.22101808171975 |
Real period |
R |
0.98809620311911 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
329a1 |
Quadratic twists by: 13 |