Atkin-Lehner |
2- 3- 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50778bm |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
47159864388 = 22 · 38 · 73 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 4 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2228,-38541] |
[a1,a2,a3,a4,a6] |
j |
1677100110841/64691172 |
j-invariant |
L |
8.3588752989215 |
L(r)(E,1)/r! |
Ω |
0.69657294160063 |
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 |
16926h1 |
Quadratic twists by: -3 |