Atkin-Lehner |
2- 3+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
104442be |
Isogeny class |
Conductor |
104442 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
468000 |
Modular degree for the optimal curve |
Δ |
-530840029613634 = -1 · 2 · 35 · 139 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 3 -1 2 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,16981,-702421] |
[a1,a2,a3,a4,a6] |
j |
51064811/50058 |
j-invariant |
L |
5.1057459077123 |
L(r)(E,1)/r! |
Ω |
0.28365255409307 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104442h1 |
Quadratic twists by: 13 |