Atkin-Lehner |
2- 3+ 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89670bn |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
196 |
Product of Tamagawa factors cp |
deg |
705600 |
Modular degree for the optimal curve |
Δ |
-1329178410000000 = -1 · 27 · 36 · 57 · 72 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -5 -3 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-59340,5809005] |
[a1,a2,a3,a4,a6] |
Generators |
[673:16133:1] [-137:3443:1] |
Generators of the group modulo torsion |
j |
-471596654399334289/27126090000000 |
j-invariant |
L |
14.20493069849 |
L(r)(E,1)/r! |
Ω |
0.47573997031956 |
Real period |
R |
0.15233980901546 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996248 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89670bw1 |
Quadratic twists by: -7 |