Atkin-Lehner |
2- 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105350bx |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
141408 |
Modular degree for the optimal curve |
Δ |
221972450 = 2 · 52 · 74 · 432 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 6 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8233,284101] |
[a1,a2,a3,a4,a6] |
j |
1028180082265/3698 |
j-invariant |
L |
9.3057275851011 |
L(r)(E,1)/r! |
Ω |
1.5509546187755 |
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 |
105350be1 105350ck1 |
Quadratic twists by: 5 -7 |