Atkin-Lehner |
2- 3- 5+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
21390p |
Isogeny class |
Conductor |
21390 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
253436944711680 = 220 · 37 · 5 · 23 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15821,2961] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:895:1] |
Generators of the group modulo torsion |
j |
437952711354254929/253436944711680 |
j-invariant |
L |
7.6658372080716 |
L(r)(E,1)/r! |
Ω |
0.46793387488677 |
Real period |
R |
0.23403298199304 |
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 |
64170p1 106950e1 |
Quadratic twists by: -3 5 |