Atkin-Lehner |
2- 5+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89590l |
Isogeny class |
Conductor |
89590 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
2544099772600000 = 26 · 55 · 177 · 31 |
Discriminant |
Eigenvalues |
2- 3 5+ 0 0 1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-51063,3732367] |
[a1,a2,a3,a4,a6] |
Generators |
[2289:1154:27] |
Generators of the group modulo torsion |
j |
610015948641/105400000 |
j-invariant |
L |
18.147866184781 |
L(r)(E,1)/r! |
Ω |
0.43563315461581 |
Real period |
R |
3.471549779216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002244 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5270f1 |
Quadratic twists by: 17 |