Atkin-Lehner |
2- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208ck |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9123840 |
Modular degree for the optimal curve |
Δ |
-5.8509573797375E+22 |
Discriminant |
Eigenvalues |
2- 3 -2 7+ 11- 5 -8 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8140396,14674967120] |
[a1,a2,a3,a4,a6] |
Generators |
[842071410714114:358253857637729792:3197963970837] |
Generators of the group modulo torsion |
j |
-8773917273/8605184 |
j-invariant |
L |
9.6316385873609 |
L(r)(E,1)/r! |
Ω |
0.10137330528784 |
Real period |
R |
23.752896682251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54208bq1 13552u1 54208df1 |
Quadratic twists by: -4 8 -11 |