Atkin-Lehner |
2+ 5- 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
75650l |
Isogeny class |
Conductor |
75650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34944 |
Modular degree for the optimal curve |
Δ |
-2057680000 = -1 · 27 · 54 · 172 · 89 |
Discriminant |
Eigenvalues |
2+ 0 5- 1 1 -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,283,-1259] |
[a1,a2,a3,a4,a6] |
j |
4002575175/3292288 |
j-invariant |
L |
1.62832438036 |
L(r)(E,1)/r! |
Ω |
0.8141621922953 |
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 |
75650z1 |
Quadratic twists by: 5 |