Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560cj |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-197937429951283200 = -1 · 227 · 313 · 52 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 -5 1 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-161868,-32962192] |
[a1,a2,a3,a4,a6] |
Generators |
[484:1440:1] |
Generators of the group modulo torsion |
j |
-2454365649169/1035763200 |
j-invariant |
L |
3.7302289480542 |
L(r)(E,1)/r! |
Ω |
0.11660372273898 |
Real period |
R |
3.9988313191824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000182 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106560fl1 3330j1 35520t1 |
Quadratic twists by: -4 8 -3 |