Atkin-Lehner |
2- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
21386g |
Isogeny class |
Conductor |
21386 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96832 |
Modular degree for the optimal curve |
Δ |
-8775502860778 = -1 · 2 · 179 · 37 |
Discriminant |
Eigenvalues |
2- 2 -2 5 -4 -1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16479,-833473] |
[a1,a2,a3,a4,a6] |
Generators |
[1012264545749663268:-25775955431362573757:1559120481642816] |
Generators of the group modulo torsion |
j |
-4173281/74 |
j-invariant |
L |
10.799752395638 |
L(r)(E,1)/r! |
Ω |
0.2104649390837 |
Real period |
R |
25.656891933301 |
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 |
21386f1 |
Quadratic twists by: 17 |