Atkin-Lehner |
7+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
55601a |
Isogeny class |
Conductor |
55601 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-268375407209 = -1 · 7 · 138 · 47 |
Discriminant |
Eigenvalues |
1 1 3 7+ 1 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1187,-29573] |
[a1,a2,a3,a4,a6] |
Generators |
[182255:6866709:125] |
Generators of the group modulo torsion |
j |
-38272753/55601 |
j-invariant |
L |
10.314859413877 |
L(r)(E,1)/r! |
Ω |
0.38651848919 |
Real period |
R |
6.6716468309037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999191 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4277b1 |
Quadratic twists by: 13 |