Atkin-Lehner |
2- 5+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89590k |
Isogeny class |
Conductor |
89590 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-34599756907360000 = -1 · 28 · 54 · 178 · 31 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,15407,-8922943] |
[a1,a2,a3,a4,a6] |
Generators |
[191:884:1] |
Generators of the group modulo torsion |
j |
16757562879/1433440000 |
j-invariant |
L |
6.3611685726536 |
L(r)(E,1)/r! |
Ω |
0.17474429223684 |
Real period |
R |
4.5503407336209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008157 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5270e1 |
Quadratic twists by: 17 |