Atkin-Lehner |
3+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
58443f |
Isogeny class |
Conductor |
58443 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
570240 |
Modular degree for the optimal curve |
Δ |
112749984740547 = 33 · 7 · 1110 · 23 |
Discriminant |
Eigenvalues |
1 3+ -4 7+ 11- -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-256522,-50111915] |
[a1,a2,a3,a4,a6] |
Generators |
[14240556:228796813:19683] |
Generators of the group modulo torsion |
j |
71973621841/4347 |
j-invariant |
L |
2.8671855888276 |
L(r)(E,1)/r! |
Ω |
0.21213862704469 |
Real period |
R |
13.515622443948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58443l1 |
Quadratic twists by: -11 |