Atkin-Lehner |
2- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
20800df |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-921488588800 = -1 · 224 · 52 · 133 |
Discriminant |
Eigenvalues |
2- 2 5+ 5 -3 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-725153,237921857] |
[a1,a2,a3,a4,a6] |
Generators |
[733:9984:1] |
Generators of the group modulo torsion |
j |
-6434774386429585/140608 |
j-invariant |
L |
8.3806057029247 |
L(r)(E,1)/r! |
Ω |
0.63915536143716 |
Real period |
R |
1.0926667453852 |
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 |
20800bf2 5200t2 20800dv2 |
Quadratic twists by: -4 8 5 |