Atkin-Lehner |
2- 5- 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
47450ba |
Isogeny class |
Conductor |
47450 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
10440 |
Modular degree for the optimal curve |
Δ |
-18980000 = -1 · 25 · 54 · 13 · 73 |
Discriminant |
Eigenvalues |
2- 1 5- 4 -3 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,12,-208] |
[a1,a2,a3,a4,a6] |
j |
304175/30368 |
j-invariant |
L |
5.1561582702574 |
L(r)(E,1)/r! |
Ω |
1.0312316541178 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47450h1 |
Quadratic twists by: 5 |