Atkin-Lehner |
2- 3+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
43248t |
Isogeny class |
Conductor |
43248 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
-38258597258496 = -1 · 28 · 310 · 17 · 533 |
Discriminant |
Eigenvalues |
2- 3+ 1 -3 4 -5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-262620,-51714612] |
[a1,a2,a3,a4,a6] |
j |
-7824719744386534096/149447645541 |
j-invariant |
L |
0.6326860002462 |
L(r)(E,1)/r! |
Ω |
0.10544766669357 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10812h1 129744ba1 |
Quadratic twists by: -4 -3 |