Atkin-Lehner |
2+ 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
54418b |
Isogeny class |
Conductor |
54418 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
306432 |
Modular degree for the optimal curve |
Δ |
-1860416351911936 = -1 · 214 · 74 · 132 · 234 |
Discriminant |
Eigenvalues |
2+ 0 -3 7- 0 13+ 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,16459,1905333] |
[a1,a2,a3,a4,a6] |
Generators |
[71:-1887:1] [-6:1347:1] |
Generators of the group modulo torsion |
j |
2917645350022143/11008380780544 |
j-invariant |
L |
6.0735427746038 |
L(r)(E,1)/r! |
Ω |
0.33364203125602 |
Real period |
R |
1.1377356203692 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54418e1 |
Quadratic twists by: 13 |