Atkin-Lehner |
2+ 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
27950j |
Isogeny class |
Conductor |
27950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33024 |
Modular degree for the optimal curve |
Δ |
-66011611250 = -1 · 2 · 54 · 134 · 432 |
Discriminant |
Eigenvalues |
2+ -1 5- 4 -3 13+ 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-925,-16825] |
[a1,a2,a3,a4,a6] |
j |
-140282110825/105618578 |
j-invariant |
L |
1.6763214029432 |
L(r)(E,1)/r! |
Ω |
0.4190803507358 |
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 |
27950m1 |
Quadratic twists by: 5 |