Atkin-Lehner |
2- 3+ 11- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
39468f |
Isogeny class |
Conductor |
39468 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-248332656 = -1 · 24 · 3 · 113 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -3 -1 11- 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-902,10761] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:143:1] [12:39:1] |
Generators of the group modulo torsion |
j |
-5078140734208/15520791 |
j-invariant |
L |
6.4335519463068 |
L(r)(E,1)/r! |
Ω |
1.7604382602168 |
Real period |
R |
0.20302873474732 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118404j1 |
Quadratic twists by: -3 |