Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
43350bk |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
9694080 |
Modular degree for the optimal curve |
Δ |
-2.5744468820851E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 5 -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-381046651,-2862992226802] |
[a1,a2,a3,a4,a6] |
Generators |
[23722:1191101:1] |
Generators of the group modulo torsion |
j |
-56136684668636449/2361960 |
j-invariant |
L |
5.9778768670556 |
L(r)(E,1)/r! |
Ω |
0.017085394883264 |
Real period |
R |
2.9156856425683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8670o1 43350d1 |
Quadratic twists by: 5 17 |