Atkin-Lehner |
2+ 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
26550a |
Isogeny class |
Conductor |
26550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-133630525440000000 = -1 · 230 · 33 · 57 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 0 1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,68808,-16174784] |
[a1,a2,a3,a4,a6] |
Generators |
[1328:48488:1] |
Generators of the group modulo torsion |
j |
85399076758653/316753838080 |
j-invariant |
L |
4.1724888009196 |
L(r)(E,1)/r! |
Ω |
0.16690982149262 |
Real period |
R |
1.562403864107 |
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 |
26550bl2 5310i1 |
Quadratic twists by: -3 5 |