Atkin-Lehner |
2- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
63878g |
Isogeny class |
Conductor |
63878 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
136000 |
Modular degree for the optimal curve |
Δ |
-2888063378528 = -1 · 25 · 19 · 416 |
Discriminant |
Eigenvalues |
2- 1 -4 -3 -2 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-35,81761] |
[a1,a2,a3,a4,a6] |
Generators |
[140:1611:1] |
Generators of the group modulo torsion |
j |
-1/608 |
j-invariant |
L |
5.547929170915 |
L(r)(E,1)/r! |
Ω |
0.63972336212514 |
Real period |
R |
0.86723879402597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000214 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38b1 |
Quadratic twists by: 41 |