Atkin-Lehner |
2+ 5- 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
57950z |
Isogeny class |
Conductor |
57950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-1101050000000 = -1 · 27 · 58 · 192 · 61 |
Discriminant |
Eigenvalues |
2+ 1 5- -3 0 -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1576,55798] |
[a1,a2,a3,a4,a6] |
Generators |
[26:167:1] |
Generators of the group modulo torsion |
j |
-1107225625/2818688 |
j-invariant |
L |
3.9523765652484 |
L(r)(E,1)/r! |
Ω |
0.7700079347151 |
Real period |
R |
2.5664518424782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999925 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57950bk1 |
Quadratic twists by: 5 |