Atkin-Lehner |
3+ 5- 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
105225j |
Isogeny class |
Conductor |
105225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
-7798750875 = -1 · 36 · 53 · 23 · 612 |
Discriminant |
Eigenvalues |
-2 3+ 5- -3 2 -4 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,2,4248] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-68:1] [27:152:1] |
Generators of the group modulo torsion |
j |
4096/62390007 |
j-invariant |
L |
4.4265356548915 |
L(r)(E,1)/r! |
Ω |
1.0445541986911 |
Real period |
R |
0.52971589000402 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999971873 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105225r1 |
Quadratic twists by: 5 |