Atkin-Lehner |
2- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
127756b |
Isogeny class |
Conductor |
127756 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
-23104507028224 = -1 · 28 · 19 · 416 |
Discriminant |
Eigenvalues |
2- -2 -1 3 -5 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-35861,-2636057] |
[a1,a2,a3,a4,a6] |
Generators |
[73379329054:1384995018013:163667323] |
Generators of the group modulo torsion |
j |
-4194304/19 |
j-invariant |
L |
5.2788072597128 |
L(r)(E,1)/r! |
Ω |
0.17341842908822 |
Real period |
R |
15.219856642305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76a1 |
Quadratic twists by: 41 |