Atkin-Lehner |
2- 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
108224d |
Isogeny class |
Conductor |
108224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
119296 |
Modular degree for the optimal curve |
Δ |
-19726204928 = -1 · 217 · 19 · 892 |
Discriminant |
Eigenvalues |
2- 1 -2 5 2 -3 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4769,-128545] |
[a1,a2,a3,a4,a6] |
j |
-91534922066/150499 |
j-invariant |
L |
2.2977470328515 |
L(r)(E,1)/r! |
Ω |
0.28721845458747 |
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 |
108224b1 27056a1 |
Quadratic twists by: -4 8 |