Atkin-Lehner |
2- 3- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
74448w |
Isogeny class |
Conductor |
74448 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-286915892871168 = -1 · 221 · 37 · 113 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ -4 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1509,-814646] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1152:1] |
Generators of the group modulo torsion |
j |
127263527/96087552 |
j-invariant |
L |
3.83629409879 |
L(r)(E,1)/r! |
Ω |
0.25574778298556 |
Real period |
R |
0.93751890392024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995715 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9306q1 24816x1 |
Quadratic twists by: -4 -3 |