Atkin-Lehner |
2- 3- 5+ 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
99990u |
Isogeny class |
Conductor |
99990 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-20450454750 = -1 · 2 · 36 · 53 · 11 · 1012 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11- -2 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-203,-6919] |
[a1,a2,a3,a4,a6] |
j |
-1263214441/28052750 |
j-invariant |
L |
1.0497129016265 |
L(r)(E,1)/r! |
Ω |
0.52485666847273 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11110d1 |
Quadratic twists by: -3 |