Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
27900k |
Isogeny class |
Conductor |
27900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-5649750000 = -1 · 24 · 36 · 56 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 6 -2 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-525,-5875] |
[a1,a2,a3,a4,a6] |
j |
-87808/31 |
j-invariant |
L |
2.9399456725598 |
L(r)(E,1)/r! |
Ω |
0.48999094542663 |
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 |
111600dt1 3100e1 1116e1 |
Quadratic twists by: -4 -3 5 |