Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
18300h |
Isogeny class |
Conductor |
18300 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-133956000000 = -1 · 28 · 32 · 56 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,692,16388] |
[a1,a2,a3,a4,a6] |
Generators |
[8:150:1] |
Generators of the group modulo torsion |
j |
9148592/33489 |
j-invariant |
L |
6.0953716726765 |
L(r)(E,1)/r! |
Ω |
0.73785539511312 |
Real period |
R |
0.68841082243742 |
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 |
73200bg2 54900l2 732a2 |
Quadratic twists by: -4 -3 5 |