Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352eu |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-172440576 = -1 · 210 · 37 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- 5 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,-632] |
[a1,a2,a3,a4,a6] |
Generators |
[29:153:1] |
Generators of the group modulo torsion |
j |
-256/231 |
j-invariant |
L |
7.0913692298737 |
L(r)(E,1)/r! |
Ω |
0.81523574841827 |
Real period |
R |
2.1746375952137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999766 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44352t1 11088u1 14784ck1 |
Quadratic twists by: -4 8 -3 |