Atkin-Lehner |
2+ 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
28704h |
Isogeny class |
Conductor |
28704 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-14689501632 = -1 · 26 · 310 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -2 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1022,-14208] |
[a1,a2,a3,a4,a6] |
Generators |
[64:432:1] |
Generators of the group modulo torsion |
j |
-1846380912832/229523463 |
j-invariant |
L |
7.4089737507611 |
L(r)(E,1)/r! |
Ω |
0.41923797122334 |
Real period |
R |
1.7672477827192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28704a1 57408cs2 86112z1 |
Quadratic twists by: -4 8 -3 |