Atkin-Lehner |
2- 3+ 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
49776f |
Isogeny class |
Conductor |
49776 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1099008 |
Modular degree for the optimal curve |
Δ |
-48323439157248 = -1 · 213 · 39 · 173 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -2 5 -3 6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1818504,944492400] |
[a1,a2,a3,a4,a6] |
j |
-162370371743370690697/11797714638 |
j-invariant |
L |
0.96609411935597 |
L(r)(E,1)/r! |
Ω |
0.48304705962971 |
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 |
6222b1 |
Quadratic twists by: -4 |