Atkin-Lehner |
2+ 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
57798n |
Isogeny class |
Conductor |
57798 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-135542516372821584 = -1 · 24 · 39 · 137 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 3 1 0 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,12897,17700957] |
[a1,a2,a3,a4,a6] |
j |
67419143/38520144 |
j-invariant |
L |
2.0437961455588 |
L(r)(E,1)/r! |
Ω |
0.25547451829224 |
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 |
19266y1 4446v1 |
Quadratic twists by: -3 13 |