Atkin-Lehner |
2+ 3+ 41- 43- |
Signs for the Atkin-Lehner involutions |
Class |
42312c |
Isogeny class |
Conductor |
42312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-2961163008 = -1 · 28 · 38 · 41 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -1 2 4 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4433,115125] |
[a1,a2,a3,a4,a6] |
Generators |
[53:162:1] |
Generators of the group modulo torsion |
j |
-37642192000000/11567043 |
j-invariant |
L |
4.7611888910536 |
L(r)(E,1)/r! |
Ω |
1.3963553880123 |
Real period |
R |
0.42621571592138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999894 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84624e1 126936c1 |
Quadratic twists by: -4 -3 |