Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
108192r |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-14027525568 = -1 · 26 · 34 · 76 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,82,-5664] |
[a1,a2,a3,a4,a6] |
Generators |
[66:540:1] |
Generators of the group modulo torsion |
j |
8000/1863 |
j-invariant |
L |
9.4603772987283 |
L(r)(E,1)/r! |
Ω |
0.58975290694507 |
Real period |
R |
4.0103139618793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033408 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108192i1 2208a1 |
Quadratic twists by: -4 -7 |