Atkin-Lehner |
2- 5+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
80240k |
Isogeny class |
Conductor |
80240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
-2479102126796800 = -1 · 212 · 52 · 177 · 59 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 3 -2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16581,-2538125] |
[a1,a2,a3,a4,a6] |
Generators |
[108738:1686187:343] |
Generators of the group modulo torsion |
j |
-123089813622784/605249542675 |
j-invariant |
L |
3.7715096772735 |
L(r)(E,1)/r! |
Ω |
0.19006881359529 |
Real period |
R |
9.9214321595223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999942209 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5015a1 |
Quadratic twists by: -4 |