Atkin-Lehner |
2+ 3- 5- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
42570p |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-48811522129920 = -1 · 220 · 39 · 5 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8901,90085] |
[a1,a2,a3,a4,a6] |
Generators |
[159:2267:1] |
Generators of the group modulo torsion |
j |
106975701068111/66956820480 |
j-invariant |
L |
4.2401638058415 |
L(r)(E,1)/r! |
Ω |
0.3936751282547 |
Real period |
R |
5.3853590200657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999943 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14190k1 |
Quadratic twists by: -3 |