Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18150y |
Isogeny class |
Conductor |
18150 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
29596140956250000 = 24 · 35 · 58 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4215401,3330881948] |
[a1,a2,a3,a4,a6] |
Generators |
[87:54406:1] |
Generators of the group modulo torsion |
j |
299270638153369/1069200 |
j-invariant |
L |
4.4076426083006 |
L(r)(E,1)/r! |
Ω |
0.32615831666314 |
Real period |
R |
0.67569066663611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54450fg1 3630n1 1650q1 |
Quadratic twists by: -3 5 -11 |