Atkin-Lehner |
2+ 3- 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
58410i |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2623488 |
Modular degree for the optimal curve |
Δ |
3.6472881492913E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2347470,1036041300] |
[a1,a2,a3,a4,a6] |
j |
1962440239008750340321/500313875074252800 |
j-invariant |
L |
1.9088527294597 |
L(r)(E,1)/r! |
Ω |
0.15907106088958 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470be1 |
Quadratic twists by: -3 |