Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440cc |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
727650000 = 24 · 33 · 55 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34368,-2452333] |
[a1,a2,a3,a4,a6] |
j |
10392086293512192/1684375 |
j-invariant |
L |
3.155756630791 |
L(r)(E,1)/r! |
Ω |
0.35063962564702 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13860a1 55440cl1 |
Quadratic twists by: -4 -3 |