Atkin-Lehner |
2- 37- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
111296j |
Isogeny class |
Conductor |
111296 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
-172325156257792 = -1 · 215 · 373 · 473 |
Discriminant |
Eigenvalues |
2- 0 2 3 0 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-338924,75948048] |
[a1,a2,a3,a4,a6] |
Generators |
[434:3256:1] |
Generators of the group modulo torsion |
j |
-131395577239416456/5258946419 |
j-invariant |
L |
9.3293503721655 |
L(r)(E,1)/r! |
Ω |
0.53642025610196 |
Real period |
R |
1.4493223438419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019155 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111296m1 55648b1 |
Quadratic twists by: -4 8 |