Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41616cr |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
44109529637732352 = 214 · 38 · 177 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 0 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-104907,8302970] |
[a1,a2,a3,a4,a6] |
Generators |
[391:-5202:1] |
Generators of the group modulo torsion |
j |
1771561/612 |
j-invariant |
L |
2.1726138815301 |
L(r)(E,1)/r! |
Ω |
0.33101667760508 |
Real period |
R |
0.82043218231791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5202l1 13872y1 2448t1 |
Quadratic twists by: -4 -3 17 |