Atkin-Lehner |
2- 3+ 31+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
45384b |
Isogeny class |
Conductor |
45384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
957312 |
Modular degree for the optimal curve |
Δ |
-1.4166984104619E+19 |
Discriminant |
Eigenvalues |
2- 3+ 3 -1 0 -2 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2884284,1895045697] |
[a1,a2,a3,a4,a6] |
j |
-165850941958035418746112/885436506538711119 |
j-invariant |
L |
1.790772246395 |
L(r)(E,1)/r! |
Ω |
0.22384653081949 |
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 |
90768b1 |
Quadratic twists by: -4 |