Atkin-Lehner |
2- 3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43050bw |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
269568 |
Modular degree for the optimal curve |
Δ |
-357477110156250 = -1 · 2 · 313 · 58 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 -4 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15813,-1190133] |
[a1,a2,a3,a4,a6] |
j |
-27986475935881/22878535050 |
j-invariant |
L |
5.3485319214892 |
L(r)(E,1)/r! |
Ω |
0.20571276621526 |
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 |
129150bl1 8610d1 |
Quadratic twists by: -3 5 |