Atkin-Lehner |
2+ 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
80960w |
Isogeny class |
Conductor |
80960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
350208 |
Modular degree for the optimal curve |
Δ |
-5959493936000000 = -1 · 210 · 56 · 113 · 234 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 11+ -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-86392,10455624] |
[a1,a2,a3,a4,a6] |
Generators |
[118:1380:1] |
Generators of the group modulo torsion |
j |
-69637687367215104/5819818296875 |
j-invariant |
L |
4.9351690990856 |
L(r)(E,1)/r! |
Ω |
0.41678475004363 |
Real period |
R |
0.98675417325749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003279 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80960ca1 10120b1 |
Quadratic twists by: -4 8 |