Atkin-Lehner |
2- 5- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52360l |
Isogeny class |
Conductor |
52360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
25997252831118800 = 24 · 52 · 7 · 113 · 178 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11+ 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-105482,-10662731] |
[a1,a2,a3,a4,a6] |
j |
8112202749205641216/1624828301944925 |
j-invariant |
L |
2.1490186464479 |
L(r)(E,1)/r! |
Ω |
0.26862733077432 |
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 |
104720h1 |
Quadratic twists by: -4 |