Atkin-Lehner |
2+ 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52080o |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
12499200 = 28 · 32 · 52 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16276,-804676] |
[a1,a2,a3,a4,a6] |
j |
1862745286828624/48825 |
j-invariant |
L |
3.3814299780035 |
L(r)(E,1)/r! |
Ω |
0.42267874717125 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26040i1 |
Quadratic twists by: -4 |