Atkin-Lehner |
2+ 3- 5- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83850bk |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
858624000000000 = 218 · 3 · 59 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-25701,724048] |
[a1,a2,a3,a4,a6] |
j |
961212581909/439615488 |
j-invariant |
L |
1.7925326685405 |
L(r)(E,1)/r! |
Ω |
0.44813316364355 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83850cc1 |
Quadratic twists by: 5 |