Atkin-Lehner |
3- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
109551h |
Isogeny class |
Conductor |
109551 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1058304 |
Modular degree for the optimal curve |
Δ |
386072340240849561 = 32 · 13 · 539 |
Discriminant |
Eigenvalues |
-1 3- 2 -2 2 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-313262,60476715] |
[a1,a2,a3,a4,a6] |
Generators |
[361574520615:-10719712390715:332812557] |
Generators of the group modulo torsion |
j |
1030301/117 |
j-invariant |
L |
5.8580351700619 |
L(r)(E,1)/r! |
Ω |
0.29093039828016 |
Real period |
R |
20.135521064669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012187 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109551d1 |
Quadratic twists by: 53 |