Atkin-Lehner |
2- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
44608bh |
Isogeny class |
Conductor |
44608 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
1199776768 = 210 · 17 · 413 |
Discriminant |
Eigenvalues |
2- -1 0 3 -4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1153,-14599] |
[a1,a2,a3,a4,a6] |
Generators |
[40:41:1] |
Generators of the group modulo torsion |
j |
165686944000/1171657 |
j-invariant |
L |
3.9487892811156 |
L(r)(E,1)/r! |
Ω |
0.81958866072976 |
Real period |
R |
1.6060045200378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44608i1 11152c1 |
Quadratic twists by: -4 8 |