Atkin-Lehner |
2+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
44608t |
Isogeny class |
Conductor |
44608 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9728 |
Modular degree for the optimal curve |
Δ |
713728 = 210 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ -1 2 3 -4 2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-497,-4103] |
[a1,a2,a3,a4,a6] |
Generators |
[-34538:937:2744] |
Generators of the group modulo torsion |
j |
13285149952/697 |
j-invariant |
L |
6.1953820587228 |
L(r)(E,1)/r! |
Ω |
1.0109717724251 |
Real period |
R |
6.1281454415416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44608bm1 5576d1 |
Quadratic twists by: -4 8 |