Atkin-Lehner |
2- 3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43050bx |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
233280 |
Modular degree for the optimal curve |
Δ |
-1085764238343750 = -1 · 2 · 3 · 56 · 710 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -1 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3163,1586567] |
[a1,a2,a3,a4,a6] |
j |
-223980311017/69488911254 |
j-invariant |
L |
3.9883702895466 |
L(r)(E,1)/r! |
Ω |
0.39883702895965 |
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 |
129150bm1 1722a1 |
Quadratic twists by: -3 5 |