Atkin-Lehner |
3- 7- 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
80073h |
Isogeny class |
Conductor |
80073 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
501760 |
Modular degree for the optimal curve |
Δ |
-5748139857919221 = -1 · 311 · 77 · 312 · 41 |
Discriminant |
Eigenvalues |
1 3- 1 7- 4 -7 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-40104,-4771359] |
[a1,a2,a3,a4,a6] |
Generators |
[600:-13971:1] |
Generators of the group modulo torsion |
j |
-9785101840714369/7884965511549 |
j-invariant |
L |
9.0676767494199 |
L(r)(E,1)/r! |
Ω |
0.16306996274453 |
Real period |
R |
0.99296520585176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998266 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26691c1 |
Quadratic twists by: -3 |