Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
6498i |
Isogeny class |
Conductor |
6498 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
-2.7804159855889E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 2 3 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3543102,2690316180] |
[a1,a2,a3,a4,a6] |
Generators |
[732:21738:1] |
Generators of the group modulo torsion |
j |
-1100553625/62208 |
j-invariant |
L |
3.2213521381945 |
L(r)(E,1)/r! |
Ω |
0.1714458050678 |
Real period |
R |
4.6973329807057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51984cj1 2166h1 6498r1 |
Quadratic twists by: -4 -3 -19 |