Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
27900s |
Isogeny class |
Conductor |
27900 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-97627680000 = -1 · 28 · 39 · 54 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,825,11950] |
[a1,a2,a3,a4,a6] |
Generators |
[14:162:1] |
Generators of the group modulo torsion |
j |
532400/837 |
j-invariant |
L |
3.9049104591951 |
L(r)(E,1)/r! |
Ω |
0.72618156691493 |
Real period |
R |
2.6886598593961 |
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 |
111600gc1 9300m1 27900n1 |
Quadratic twists by: -4 -3 5 |