Atkin-Lehner |
2- 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
32040h |
Isogeny class |
Conductor |
32040 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
120000 |
Modular degree for the optimal curve |
Δ |
-415238400000 = -1 · 211 · 36 · 55 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 5 -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64443,6296758] |
[a1,a2,a3,a4,a6] |
Generators |
[1614:44020:27] |
Generators of the group modulo torsion |
j |
-19824100055282/278125 |
j-invariant |
L |
6.1453402098174 |
L(r)(E,1)/r! |
Ω |
0.8623316891117 |
Real period |
R |
7.1264227992688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64080f1 3560e1 |
Quadratic twists by: -4 -3 |