Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
40800bb |
Isogeny class |
Conductor |
40800 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-21415104000000 = -1 · 212 · 39 · 56 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 5 1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6867,42363] |
[a1,a2,a3,a4,a6] |
Generators |
[9:324:1] |
Generators of the group modulo torsion |
j |
559476224/334611 |
j-invariant |
L |
7.6452971058965 |
L(r)(E,1)/r! |
Ω |
0.41613855839981 |
Real period |
R |
1.0206666013807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40800j1 81600gp1 122400dd1 1632f1 |
Quadratic twists by: -4 8 -3 5 |