Atkin-Lehner |
2+ 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
28480f |
Isogeny class |
Conductor |
28480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-933232640 = -1 · 221 · 5 · 89 |
Discriminant |
Eigenvalues |
2+ -1 5+ -4 1 -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-801,9121] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:31:1] [25:64:1] |
Generators of the group modulo torsion |
j |
-217081801/3560 |
j-invariant |
L |
5.8781730597442 |
L(r)(E,1)/r! |
Ω |
1.5737382718065 |
Real period |
R |
0.93379140055446 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28480bb1 890d1 |
Quadratic twists by: -4 8 |