Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20400df |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-94003200 = -1 · 213 · 33 · 52 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 2 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48,468] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:24:1] |
Generators of the group modulo torsion |
j |
-121945/918 |
j-invariant |
L |
6.9761353785679 |
L(r)(E,1)/r! |
Ω |
1.6325347780489 |
Real period |
R |
0.35609937546044 |
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 |
2550t1 81600fu1 61200ga1 20400cv1 |
Quadratic twists by: -4 8 -3 5 |