Atkin-Lehner |
2- 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488eu |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-10848156403392 = -1 · 26 · 35 · 78 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11+ 5 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2287,-153537] |
[a1,a2,a3,a4,a6] |
j |
3584000/29403 |
j-invariant |
L |
2.85658581518 |
L(r)(E,1)/r! |
Ω |
0.35707317930029 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488cn1 25872ch1 103488hp1 |
Quadratic twists by: -4 8 -7 |