Atkin-Lehner |
2- 3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
21240l |
Isogeny class |
Conductor |
21240 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
-116423275881600000 = -1 · 210 · 311 · 55 · 593 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 6 -3 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-102747,-20741114] |
[a1,a2,a3,a4,a6] |
j |
-160695486160996/155959678125 |
j-invariant |
L |
2.5653156610205 |
L(r)(E,1)/r! |
Ω |
0.12826578305102 |
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 |
42480m1 7080e1 106200k1 |
Quadratic twists by: -4 -3 5 |