Atkin-Lehner |
3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
83655be |
Isogeny class |
Conductor |
83655 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
317627578125 = 37 · 57 · 11 · 132 |
Discriminant |
Eigenvalues |
1 3- 5- 5 11- 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33084,-2307785] |
[a1,a2,a3,a4,a6] |
j |
32506551525721/2578125 |
j-invariant |
L |
4.9559229046002 |
L(r)(E,1)/r! |
Ω |
0.35399449071919 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27885f1 83655k1 |
Quadratic twists by: -3 13 |