Atkin-Lehner |
2- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
80960bp |
Isogeny class |
Conductor |
80960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-14722070000000000 = -1 · 210 · 510 · 112 · 233 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 11- -3 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-126761,18368065] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:34375:8] |
Generators of the group modulo torsion |
j |
-219980483082985216/14377021484375 |
j-invariant |
L |
3.1807387686542 |
L(r)(E,1)/r! |
Ω |
0.38843517481732 |
Real period |
R |
2.0471490323934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80960g1 20240s1 |
Quadratic twists by: -4 8 |