Atkin-Lehner |
2- 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
50820i |
Isogeny class |
Conductor |
50820 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
168000 |
Modular degree for the optimal curve |
Δ |
1205370104400 = 24 · 35 · 52 · 7 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-68405,-6863250] |
[a1,a2,a3,a4,a6] |
j |
1248870793216/42525 |
j-invariant |
L |
0.88562365019021 |
L(r)(E,1)/r! |
Ω |
0.29520788350028 |
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 |
420b1 |
Quadratic twists by: -11 |