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 |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
1235250000 = 24 · 34 · 56 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-433,2888] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:75:1] |
Generators of the group modulo torsion |
j |
35995648/4941 |
j-invariant |
L |
6.0953716726765 |
L(r)(E,1)/r! |
Ω |
1.4757107902262 |
Real period |
R |
0.34420541121871 |
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 |
73200bg1 54900l1 732a1 |
Quadratic twists by: -4 -3 5 |