Atkin-Lehner |
3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
44109s |
Isogeny class |
Conductor |
44109 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
500115532007169 = 36 · 138 · 292 |
Discriminant |
Eigenvalues |
1 3- -2 0 -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20058,199655] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:751:1] [-154:6161:8] |
Generators of the group modulo torsion |
j |
253636137/142129 |
j-invariant |
L |
9.6386811350761 |
L(r)(E,1)/r! |
Ω |
0.45210770446077 |
Real period |
R |
10.659717850387 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4901c2 3393g2 |
Quadratic twists by: -3 13 |