Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18720ba |
Isogeny class |
Conductor |
18720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-5240401920 = -1 · 212 · 39 · 5 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -1 13+ 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1128,14992] |
[a1,a2,a3,a4,a6] |
Generators |
[32:108:1] |
Generators of the group modulo torsion |
j |
-53157376/1755 |
j-invariant |
L |
4.9233664884518 |
L(r)(E,1)/r! |
Ω |
1.3534104547857 |
Real period |
R |
0.45471852894319 |
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 |
18720f1 37440cn1 6240o1 93600bl1 |
Quadratic twists by: -4 8 -3 5 |