Atkin-Lehner |
3+ 5+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
59925a |
Isogeny class |
Conductor |
59925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
1526177390625 = 32 · 56 · 173 · 472 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 -2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22638,-1319094] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:68:1] |
Generators of the group modulo torsion |
j |
82114348569625/97675353 |
j-invariant |
L |
2.3299215707867 |
L(r)(E,1)/r! |
Ω |
0.38924313337395 |
Real period |
R |
2.9928871839817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000563 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2397e1 |
Quadratic twists by: 5 |