Atkin-Lehner |
2- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
32200q |
Isogeny class |
Conductor |
32200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-3220000000000 = -1 · 211 · 510 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 2 -5 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-208,86412] |
[a1,a2,a3,a4,a6] |
Generators |
[-1683591:34552218:117649] |
Generators of the group modulo torsion |
j |
-50/161 |
j-invariant |
L |
7.7104058800093 |
L(r)(E,1)/r! |
Ω |
0.6396598563512 |
Real period |
R |
12.053915535659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64400q1 32200m1 |
Quadratic twists by: -4 5 |