Atkin-Lehner |
2- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63916f |
Isogeny class |
Conductor |
63916 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-2893220633344 = -1 · 28 · 19 · 296 |
Discriminant |
Eigenvalues |
2- -2 -1 -3 -5 -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17941,-934569] |
[a1,a2,a3,a4,a6] |
Generators |
[193:1682:1] |
Generators of the group modulo torsion |
j |
-4194304/19 |
j-invariant |
L |
1.6202785633933 |
L(r)(E,1)/r! |
Ω |
0.20619977034707 |
Real period |
R |
1.309634956231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76a1 |
Quadratic twists by: 29 |