Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59150bt |
Isogeny class |
Conductor |
59150 |
Conductor |
∏ cp |
408 |
Product of Tamagawa factors cp |
deg |
3290112 |
Modular degree for the optimal curve |
Δ |
-1.1019643561472E+21 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 5 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-828188,1623198992] |
[a1,a2,a3,a4,a6] |
Generators |
[2432:-119516:1] |
Generators of the group modulo torsion |
j |
-832972004929/14611251200 |
j-invariant |
L |
12.774851774922 |
L(r)(E,1)/r! |
Ω |
0.13060706900942 |
Real period |
R |
0.23973366411612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999843 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11830g1 4550e1 |
Quadratic twists by: 5 13 |