Atkin-Lehner |
2- 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680eu |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
12579840 |
Modular degree for the optimal curve |
Δ |
-4.9859829198436E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 1 -3 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5201055,-33666540543] |
[a1,a2,a3,a4,a6] |
Generators |
[4397:272384:1] |
Generators of the group modulo torsion |
j |
59355100650962613671/1902001541078016000 |
j-invariant |
L |
6.7217995112243 |
L(r)(E,1)/r! |
Ω |
0.044857426246422 |
Real period |
R |
0.83248937275879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999942306 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127680cr1 31920bq1 |
Quadratic twists by: -4 8 |