Atkin-Lehner |
2+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
28480b |
Isogeny class |
Conductor |
28480 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-89000000 = -1 · 26 · 56 · 89 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 0 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,77,372] |
[a1,a2,a3,a4,a6] |
Generators |
[228:1683:64] |
Generators of the group modulo torsion |
j |
788889024/1390625 |
j-invariant |
L |
3.5131409700828 |
L(r)(E,1)/r! |
Ω |
1.3103498201174 |
Real period |
R |
5.3621421030422 |
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 |
28480a1 14240h2 |
Quadratic twists by: -4 8 |