Atkin-Lehner |
3- 5- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75075by |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
76080 |
Modular degree for the optimal curve |
Δ |
-1173046875 = -1 · 3 · 58 · 7 · 11 · 13 |
Discriminant |
Eigenvalues |
-2 3- 5- 7+ 11- 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1958,32744] |
[a1,a2,a3,a4,a6] |
j |
-2126295040/3003 |
j-invariant |
L |
1.5385857678188 |
L(r)(E,1)/r! |
Ω |
1.5385858239545 |
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 |
75075x1 |
Quadratic twists by: 5 |