Atkin-Lehner |
2+ 3+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105792g |
Isogeny class |
Conductor |
105792 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-3055401892518912 = -1 · 210 · 37 · 196 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 4 1 5 -3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-739881,245218833] |
[a1,a2,a3,a4,a6] |
Generators |
[4180778504:1356744495:8365427] |
Generators of the group modulo torsion |
j |
-43743141251266567936/2983790910663 |
j-invariant |
L |
9.2493537805421 |
L(r)(E,1)/r! |
Ω |
0.42749377973719 |
Real period |
R |
10.818115004678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037386 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105792bw1 6612d1 |
Quadratic twists by: -4 8 |