Atkin-Lehner |
2+ 3- 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
44730w |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
4612608 |
Modular degree for the optimal curve |
Δ |
-8.6987818198462E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -4 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4723299,-14728780395] |
[a1,a2,a3,a4,a6] |
j |
-15985732876331510135089/119324853495832320000 |
j-invariant |
L |
2.5358450953663 |
L(r)(E,1)/r! |
Ω |
0.045282948131604 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910bi1 |
Quadratic twists by: -3 |