Atkin-Lehner |
2+ 3- 5+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
81090i |
Isogeny class |
Conductor |
81090 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
42510763176652800 = 212 · 313 · 52 · 173 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 4 -1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1277505,-555358275] |
[a1,a2,a3,a4,a6] |
Generators |
[-654:615:1] |
Generators of the group modulo torsion |
j |
316289082038104964881/58313804083200 |
j-invariant |
L |
4.3434604639544 |
L(r)(E,1)/r! |
Ω |
0.14200828787399 |
Real period |
R |
1.9116227882406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999918293 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27030w1 |
Quadratic twists by: -3 |