Atkin-Lehner |
2+ 3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
64944l |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
81810736128 = 210 · 311 · 11 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-328755,-72553214] |
[a1,a2,a3,a4,a6] |
Generators |
[825:14756:1] |
Generators of the group modulo torsion |
j |
5263969051106500/109593 |
j-invariant |
L |
4.7955115759199 |
L(r)(E,1)/r! |
Ω |
0.19937994118452 |
Real period |
R |
6.0130316364774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996535 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32472q1 21648j1 |
Quadratic twists by: -4 -3 |