Atkin-Lehner |
2- 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
80100o |
Isogeny class |
Conductor |
80100 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
532105301250000 = 24 · 314 · 57 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27300,1335125] |
[a1,a2,a3,a4,a6] |
Generators |
[35:650:1] |
Generators of the group modulo torsion |
j |
12346507264/2919645 |
j-invariant |
L |
5.859609529345 |
L(r)(E,1)/r! |
Ω |
0.48935091990694 |
Real period |
R |
2.9935621314595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996641 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26700b1 16020d1 |
Quadratic twists by: -3 5 |