Atkin-Lehner |
2+ 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800bo |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
111375000000 = 26 · 34 · 59 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2208,-35838] |
[a1,a2,a3,a4,a6] |
j |
9528128/891 |
j-invariant |
L |
2.80245543925 |
L(r)(E,1)/r! |
Ω |
0.70061385972096 |
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 |
52800dx1 26400bb2 52800do1 |
Quadratic twists by: -4 8 5 |