Atkin-Lehner |
2- 3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
104580t |
Isogeny class |
Conductor |
104580 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1920000 |
Modular degree for the optimal curve |
Δ |
-16081626093750000 = -1 · 24 · 311 · 510 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -5 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2565057,1581236669] |
[a1,a2,a3,a4,a6] |
Generators |
[988:3375:1] |
Generators of the group modulo torsion |
j |
-160017419353848795904/1378740234375 |
j-invariant |
L |
7.851637424096 |
L(r)(E,1)/r! |
Ω |
0.35257250731398 |
Real period |
R |
1.1134783973257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002088 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34860a1 |
Quadratic twists by: -3 |