Atkin-Lehner |
3- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
75429d |
Isogeny class |
Conductor |
75429 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-786159733077 = -1 · 38 · 173 · 293 |
Discriminant |
Eigenvalues |
1 3- 0 1 -2 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-972,-43983] |
[a1,a2,a3,a4,a6] |
Generators |
[48:111:1] [64:359:1] |
Generators of the group modulo torsion |
j |
-28372625/219501 |
j-invariant |
L |
12.899493773249 |
L(r)(E,1)/r! |
Ω |
0.37733089509901 |
Real period |
R |
8.5465396160518 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999964 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25143p1 75429r1 |
Quadratic twists by: -3 17 |