Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350dm |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
489600 |
Modular degree for the optimal curve |
Δ |
-144084269943855000 = -1 · 23 · 35 · 54 · 179 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-227738,-45663108] |
[a1,a2,a3,a4,a6] |
j |
-17624225/1944 |
j-invariant |
L |
3.2579140737431 |
L(r)(E,1)/r! |
Ω |
0.10859713579127 |
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 |
43350f2 43350cm1 |
Quadratic twists by: 5 17 |