Atkin-Lehner |
2+ 3- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
101184m |
Isogeny class |
Conductor |
101184 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
37376 |
Modular degree for the optimal curve |
Δ |
-497116992 = -1 · 26 · 3 · 174 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,28,-1062] |
[a1,a2,a3,a4,a6] |
j |
36594368/7767453 |
j-invariant |
L |
6.2371587519777 |
L(r)(E,1)/r! |
Ω |
0.77964485724124 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101184e1 50592a2 |
Quadratic twists by: -4 8 |