Atkin-Lehner |
3- 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
72561j |
Isogeny class |
Conductor |
72561 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1567728 |
Modular degree for the optimal curve |
Δ |
-1.6595980928055E+19 |
Discriminant |
Eigenvalues |
-1 3- 0 -2 4 -2 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1696888,872944283] |
[a1,a2,a3,a4,a6] |
Generators |
[888547:7734988:1331] |
Generators of the group modulo torsion |
j |
-88134765625/2706867 |
j-invariant |
L |
4.7263179902614 |
L(r)(E,1)/r! |
Ω |
0.21883025254265 |
Real period |
R |
10.799050714009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000691 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72561b1 |
Quadratic twists by: -19 |