Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
87120br |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-2200248149425920 = -1 · 28 · 36 · 5 · 119 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3993,-2254714] |
[a1,a2,a3,a4,a6] |
Generators |
[108909650:9092973616:15625] |
Generators of the group modulo torsion |
j |
16/5 |
j-invariant |
L |
6.6427703195999 |
L(r)(E,1)/r! |
Ω |
0.2171053034979 |
Real period |
R |
15.298498498721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000521 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43560u1 9680d1 87120bp1 |
Quadratic twists by: -4 -3 -11 |