Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
15456m |
Isogeny class |
Conductor |
15456 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
14930496 = 26 · 32 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-162,-720] |
[a1,a2,a3,a4,a6] |
Generators |
[90:840:1] |
Generators of the group modulo torsion |
j |
7392083392/233289 |
j-invariant |
L |
4.9298058978321 |
L(r)(E,1)/r! |
Ω |
1.3400991443957 |
Real period |
R |
3.6786874452151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15456d1 30912z2 46368z1 108192bt1 |
Quadratic twists by: -4 8 -3 -7 |