Atkin-Lehner |
3+ 5- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
75525g |
Isogeny class |
Conductor |
75525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
41856 |
Modular degree for the optimal curve |
Δ |
1743494625 = 36 · 53 · 192 · 53 |
Discriminant |
Eigenvalues |
-1 3+ 5- 2 0 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1948,-33844] |
[a1,a2,a3,a4,a6] |
j |
6540252126101/13947957 |
j-invariant |
L |
1.437430300903 |
L(r)(E,1)/r! |
Ω |
0.71871515401806 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75525k1 |
Quadratic twists by: 5 |