Atkin-Lehner |
2+ 5- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
75440i |
Isogeny class |
Conductor |
75440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
293721113600 = 210 · 52 · 234 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 2 6 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7067,-227174] |
[a1,a2,a3,a4,a6] |
Generators |
[117:740:1] |
Generators of the group modulo torsion |
j |
38117905534404/286837025 |
j-invariant |
L |
6.8020848940809 |
L(r)(E,1)/r! |
Ω |
0.52094012081126 |
Real period |
R |
3.2643314557297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003554 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37720j1 |
Quadratic twists by: -4 |