Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18150bz |
Isogeny class |
Conductor |
18150 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
81675000000000 = 29 · 33 · 511 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11- 5 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-128213,-17718469] |
[a1,a2,a3,a4,a6] |
Generators |
[-205:152:1] |
Generators of the group modulo torsion |
j |
123286270205329/43200000 |
j-invariant |
L |
6.4076379996377 |
L(r)(E,1)/r! |
Ω |
0.25230488211853 |
Real period |
R |
1.41091161566 |
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 |
54450bx1 3630h1 18150e1 |
Quadratic twists by: -3 5 -11 |