Atkin-Lehner |
2- 3+ 5- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
120450br |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1944000 |
Modular degree for the optimal curve |
Δ |
-317431521000000000 = -1 · 29 · 33 · 59 · 115 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 11+ 5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-307888,-71252719] |
[a1,a2,a3,a4,a6] |
Generators |
[17445:-1861:27] |
Generators of the group modulo torsion |
j |
-1652616364122989/162524938752 |
j-invariant |
L |
10.968864871651 |
L(r)(E,1)/r! |
Ω |
0.10077546768312 |
Real period |
R |
6.0469219281488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999410203 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120450be1 |
Quadratic twists by: 5 |