Atkin-Lehner |
2- 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
43610s |
Isogeny class |
Conductor |
43610 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
67012870400 = 28 · 52 · 76 · 89 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2533,-46819] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:32:1] |
Generators of the group modulo torsion |
j |
15271450641/569600 |
j-invariant |
L |
6.3775906557432 |
L(r)(E,1)/r! |
Ω |
0.67452780732713 |
Real period |
R |
1.1818620719675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
890h1 |
Quadratic twists by: -7 |