Atkin-Lehner |
2- 3+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
111552cb |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
87040 |
Modular degree for the optimal curve |
Δ |
11999425536 = 210 · 35 · 7 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 4 -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2157,38925] |
[a1,a2,a3,a4,a6] |
j |
1084365064192/11718189 |
j-invariant |
L |
1.2748709781108 |
L(r)(E,1)/r! |
Ω |
1.2748711295983 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111552bu1 27888i1 |
Quadratic twists by: -4 8 |