Atkin-Lehner |
3- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
44835be |
Isogeny class |
Conductor |
44835 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-553853256075 = -1 · 32 · 52 · 79 · 61 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- -6 2 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1780,-46616] |
[a1,a2,a3,a4,a6] |
Generators |
[191:2572:1] |
Generators of the group modulo torsion |
j |
-5304438784/4707675 |
j-invariant |
L |
3.5482156130623 |
L(r)(E,1)/r! |
Ω |
0.35438242403247 |
Real period |
R |
0.62577447632038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6405c1 |
Quadratic twists by: -7 |