Atkin-Lehner |
2- 3+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
41772b |
Isogeny class |
Conductor |
41772 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
637200 |
Modular degree for the optimal curve |
Δ |
-1014891984721066752 = -1 · 28 · 33 · 598 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -2 6 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-547677,163542537] |
[a1,a2,a3,a4,a6] |
Generators |
[2503:120282:1] |
Generators of the group modulo torsion |
j |
-483328/27 |
j-invariant |
L |
5.6877210179144 |
L(r)(E,1)/r! |
Ω |
0.27375225193935 |
Real period |
R |
6.925630720994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999948 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125316h1 41772a1 |
Quadratic twists by: -3 -59 |