Atkin-Lehner |
2- 3- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
12648f |
Isogeny class |
Conductor |
12648 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
679104 |
Modular degree for the optimal curve |
Δ |
5.6880057337151E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8249247,8363734218] |
[a1,a2,a3,a4,a6] |
Generators |
[-261:102465:1] |
Generators of the group modulo torsion |
j |
3880133825326557297276928/355500358357194958653 |
j-invariant |
L |
6.2005897024512 |
L(r)(E,1)/r! |
Ω |
0.13156400960398 |
Real period |
R |
5.236648027506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25296a1 101184b1 37944f1 |
Quadratic twists by: -4 8 -3 |