Atkin-Lehner |
2+ 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
15456d |
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 |
[33:180:1] |
Generators of the group modulo torsion |
j |
7392083392/233289 |
j-invariant |
L |
6.5521359124778 |
L(r)(E,1)/r! |
Ω |
2.2052811868058 |
Real period |
R |
2.9711113266096 |
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 |
15456m1 30912f2 46368bj1 108192k1 |
Quadratic twists by: -4 8 -3 -7 |