Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
18150br |
Isogeny class |
Conductor |
18150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
31363200000000 = 213 · 34 · 58 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 11- 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-49701,4252048] |
[a1,a2,a3,a4,a6] |
j |
287250720625/663552 |
j-invariant |
L |
2.641852419289 |
L(r)(E,1)/r! |
Ω |
0.66046310482225 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54450hd1 18150cb1 18150dk1 |
Quadratic twists by: -3 5 -11 |