Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850ct |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
180000 |
Modular degree for the optimal curve |
Δ |
-4107438720000 = -1 · 210 · 35 · 54 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ 0 -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2424,-85802] |
[a1,a2,a3,a4,a6] |
Generators |
[137:1611:1] |
Generators of the group modulo torsion |
j |
1050284375/2737152 |
j-invariant |
L |
5.3314121451488 |
L(r)(E,1)/r! |
Ω |
0.40222275186427 |
Real period |
R |
0.14727638467248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993738 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80850dm1 80850ba1 |
Quadratic twists by: 5 -7 |