Atkin-Lehner |
2- 5+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
75440p |
Isogeny class |
Conductor |
75440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
14555241512960000 = 230 · 54 · 232 · 41 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 6 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-75496,5457204] |
[a1,a2,a3,a4,a6] |
j |
11618266732968169/3553525760000 |
j-invariant |
L |
1.46427797465 |
L(r)(E,1)/r! |
Ω |
0.36606949587169 |
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 |
9430c1 |
Quadratic twists by: -4 |