Atkin-Lehner |
2- 3+ 5+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
80910l |
Isogeny class |
Conductor |
80910 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
330624 |
Modular degree for the optimal curve |
Δ |
-80180545781250 = -1 · 2 · 39 · 57 · 292 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -1 -6 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13583,-742823] |
[a1,a2,a3,a4,a6] |
Generators |
[2924474:93373351:2744] |
Generators of the group modulo torsion |
j |
-14079575024523/4073593750 |
j-invariant |
L |
9.2938138754087 |
L(r)(E,1)/r! |
Ω |
0.21785942505984 |
Real period |
R |
10.66492059629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975713 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80910b1 |
Quadratic twists by: -3 |