Atkin-Lehner |
2- 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
28336s |
Isogeny class |
Conductor |
28336 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-637252008031141888 = -1 · 214 · 73 · 118 · 232 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 11+ 0 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-95688,40029556] |
[a1,a2,a3,a4,a6] |
Generators |
[366:7360:1] |
Generators of the group modulo torsion |
j |
-23655968592999625/155579103523228 |
j-invariant |
L |
3.0905466260704 |
L(r)(E,1)/r! |
Ω |
0.24832186217062 |
Real period |
R |
3.1114322748865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3542g1 113344dm1 |
Quadratic twists by: -4 8 |