Atkin-Lehner |
2- 3+ 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
68160ch |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-2716726392000 = -1 · 26 · 314 · 53 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 6 -1 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2995,-100343] |
[a1,a2,a3,a4,a6] |
Generators |
[10276:120285:64] |
Generators of the group modulo torsion |
j |
-46438610512384/42448849875 |
j-invariant |
L |
5.8365252762041 |
L(r)(E,1)/r! |
Ω |
0.3109186824814 |
Real period |
R |
3.1286451008486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999274 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68160dk1 34080bc1 |
Quadratic twists by: -4 8 |