Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18150ca |
Isogeny class |
Conductor |
18150 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
75766120848000000 = 210 · 35 · 56 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-136188,-14157219] |
[a1,a2,a3,a4,a6] |
Generators |
[-291:1113:1] |
Generators of the group modulo torsion |
j |
10091699281/2737152 |
j-invariant |
L |
6.2028827550483 |
L(r)(E,1)/r! |
Ω |
0.2535745522244 |
Real period |
R |
1.2230885750631 |
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 |
54450bz1 726e1 1650b1 |
Quadratic twists by: -3 5 -11 |