Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13650z |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5620680975000000 = 26 · 3 · 58 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8321251,9238434398] |
[a1,a2,a3,a4,a6] |
j |
4078208988807294650401/359723582400 |
j-invariant |
L |
1.3101128944732 |
L(r)(E,1)/r! |
Ω |
0.3275282236183 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200ds4 40950ds4 2730x4 95550bt4 |
Quadratic twists by: -4 -3 5 -7 |