Atkin-Lehner |
2- 3- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
112176bb |
Isogeny class |
Conductor |
112176 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
706560 |
Modular degree for the optimal curve |
Δ |
-62919929988999936 = -1 · 28 · 310 · 195 · 412 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 3 -4 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,93048,-5128292] |
[a1,a2,a3,a4,a6] |
Generators |
[278:-6498:1] |
Generators of the group modulo torsion |
j |
477394428993536/337148115939 |
j-invariant |
L |
6.7791387715836 |
L(r)(E,1)/r! |
Ω |
0.19715212176419 |
Real period |
R |
0.85963299553064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016652 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28044c1 37392r1 |
Quadratic twists by: -4 -3 |