Atkin-Lehner |
2+ 3+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
105966f |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1870848 |
Modular degree for the optimal curve |
Δ |
2149610862120364944 = 24 · 33 · 73 · 299 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-425283,-80015355] |
[a1,a2,a3,a4,a6] |
j |
21717639/5488 |
j-invariant |
L |
0.38085353878029 |
L(r)(E,1)/r! |
Ω |
0.19042667424183 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105966bj1 105966bl1 |
Quadratic twists by: -3 29 |