Atkin-Lehner |
2- 3- 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
21900j |
Isogeny class |
Conductor |
21900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-946080000 = -1 · 28 · 34 · 54 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -5 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2508,-49212] |
[a1,a2,a3,a4,a6] |
j |
-10908360400/5913 |
j-invariant |
L |
4.0475327611622 |
L(r)(E,1)/r! |
Ω |
0.33729439676352 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87600bw1 65700o1 21900c1 |
Quadratic twists by: -4 -3 5 |