Atkin-Lehner |
2- 3+ 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50778t |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
29618604288 = 28 · 33 · 73 · 13 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-267803,53409099] |
[a1,a2,a3,a4,a6] |
j |
78669201304884025107/1096985344 |
j-invariant |
L |
6.679217999757 |
L(r)(E,1)/r! |
Ω |
0.83490225001042 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50778b1 |
Quadratic twists by: -3 |