Atkin-Lehner |
2- 3- 11+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
21318p |
Isogeny class |
Conductor |
21318 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
15476868 = 22 · 32 · 113 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11+ -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-80608,-8815492] |
[a1,a2,a3,a4,a6] |
j |
57923992190610906625/15476868 |
j-invariant |
L |
4.5334097343483 |
L(r)(E,1)/r! |
Ω |
0.28333810839677 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63954n1 |
Quadratic twists by: -3 |