Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27900a |
Isogeny class |
Conductor |
27900 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-13135668750000 = -1 · 24 · 37 · 58 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3300,-158375] |
[a1,a2,a3,a4,a6] |
Generators |
[66:589:1] |
Generators of the group modulo torsion |
j |
21807104/72075 |
j-invariant |
L |
5.4718454391597 |
L(r)(E,1)/r! |
Ω |
0.36164313151713 |
Real period |
R |
2.5217518608307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111600eo1 9300i1 5580a1 |
Quadratic twists by: -4 -3 5 |