Atkin-Lehner |
2- 3- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
32040l |
Isogeny class |
Conductor |
32040 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
288720450000 = 24 · 36 · 55 · 892 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9642,-363499] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:25:1] |
Generators of the group modulo torsion |
j |
8499190872064/24753125 |
j-invariant |
L |
5.1180552712223 |
L(r)(E,1)/r! |
Ω |
0.48187434358446 |
Real period |
R |
1.0621140841721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64080i1 3560c1 |
Quadratic twists by: -4 -3 |