Atkin-Lehner |
2- 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44042g |
Isogeny class |
Conductor |
44042 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-271580488139014144 = -1 · 218 · 198 · 61 |
Discriminant |
Eigenvalues |
2- -2 3 -3 1 3 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-70944,26100736] |
[a1,a2,a3,a4,a6] |
Generators |
[-160:5856:1] |
Generators of the group modulo torsion |
j |
-839362385737/5772673024 |
j-invariant |
L |
7.6556001061378 |
L(r)(E,1)/r! |
Ω |
0.26632293358098 |
Real period |
R |
0.79848759415679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2318a1 |
Quadratic twists by: -19 |