Atkin-Lehner |
2+ 5- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
67450i |
Isogeny class |
Conductor |
67450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-337250 = -1 · 2 · 53 · 19 · 71 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 0 -1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11,-32] |
[a1,a2,a3,a4,a6] |
Generators |
[22:91:1] |
Generators of the group modulo torsion |
j |
-1030301/2698 |
j-invariant |
L |
5.8831189388868 |
L(r)(E,1)/r! |
Ω |
1.2322300287149 |
Real period |
R |
2.3871837247006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993466 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67450s1 |
Quadratic twists by: 5 |