Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470et |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-256164545800800 = -1 · 25 · 36 · 52 · 7 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-49718,-4323419] |
[a1,a2,a3,a4,a6] |
j |
-3862503009/72800 |
j-invariant |
L |
6.3872866740411 |
L(r)(E,1)/r! |
Ω |
0.1596821802614 |
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 |
11830n1 8190s1 |
Quadratic twists by: -3 13 |