Atkin-Lehner |
2- 3+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
47124f |
Isogeny class |
Conductor |
47124 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
65664 |
Modular degree for the optimal curve |
Δ |
4462547986512 = 24 · 33 · 73 · 116 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4500,-56303] |
[a1,a2,a3,a4,a6] |
j |
23328000000000/10329972191 |
j-invariant |
L |
1.8218179597642 |
L(r)(E,1)/r! |
Ω |
0.60727265324174 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
47124d3 |
Quadratic twists by: -3 |