Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568bn |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-2676694313049329664 = -1 · 212 · 34 · 710 · 134 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 2 13+ 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,259359,60181551] |
[a1,a2,a3,a4,a6] |
Generators |
[-153:4116:1] |
Generators of the group modulo torsion |
j |
16492733806016/22880495169 |
j-invariant |
L |
8.6359259503525 |
L(r)(E,1)/r! |
Ω |
0.1728559660142 |
Real period |
R |
0.31225151466032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969795 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113568bt1 113568cl1 |
Quadratic twists by: -4 13 |