Atkin-Lehner |
3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
65559c |
Isogeny class |
Conductor |
65559 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
846720 |
Modular degree for the optimal curve |
Δ |
9.3077957767547E+18 |
Discriminant |
Eigenvalues |
1 3- -1 -2 -1 13+ 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-535434,34529233] |
[a1,a2,a3,a4,a6] |
Generators |
[-7276:623895:64] [17:5034:1] |
Generators of the group modulo torsion |
j |
3573857582569/1959492951 |
j-invariant |
L |
12.995766247817 |
L(r)(E,1)/r! |
Ω |
0.20056716795443 |
Real period |
R |
2.3141100987947 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1599d1 |
Quadratic twists by: 41 |