Atkin-Lehner |
3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
44109d |
Isogeny class |
Conductor |
44109 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
15168 |
Modular degree for the optimal curve |
Δ |
-22363263 = -1 · 33 · 134 · 29 |
Discriminant |
Eigenvalues |
-1 3+ -4 3 -5 13+ -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32,-230] |
[a1,a2,a3,a4,a6] |
Generators |
[10:14:1] |
Generators of the group modulo torsion |
j |
-4563/29 |
j-invariant |
L |
2.1408284750357 |
L(r)(E,1)/r! |
Ω |
0.89735012835706 |
Real period |
R |
0.39762043216232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44109h1 44109b1 |
Quadratic twists by: -3 13 |