Atkin-Lehner |
3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
44109q |
Isogeny class |
Conductor |
44109 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
12571869752869869 = 312 · 138 · 29 |
Discriminant |
Eigenvalues |
0 3- -3 0 -2 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-421824,105311547] |
[a1,a2,a3,a4,a6] |
j |
13958643712/21141 |
j-invariant |
L |
0.79907476361931 |
L(r)(E,1)/r! |
Ω |
0.39953738177118 |
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 |
14703g1 44109p1 |
Quadratic twists by: -3 13 |