Atkin-Lehner |
2- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
84050j |
Isogeny class |
Conductor |
84050 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
140400 |
Modular degree for the optimal curve |
Δ |
-3800083392800 = -1 · 25 · 52 · 416 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 3 -4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5078,167492] |
[a1,a2,a3,a4,a6] |
j |
-121945/32 |
j-invariant |
L |
3.7357201556463 |
L(r)(E,1)/r! |
Ω |
0.74714404336721 |
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 |
84050f3 50b1 |
Quadratic twists by: 5 41 |