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 |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-12523929600000000 = -1 · 224 · 3 · 58 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9251,5394398] |
[a1,a2,a3,a4,a6] |
j |
-5602762882081/801531494400 |
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 |
109200ds1 40950ds1 2730x1 95550bt1 |
Quadratic twists by: -4 -3 5 -7 |