Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86490ba |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1458240 |
Modular degree for the optimal curve |
Δ |
-1193774527285418880 = -1 · 27 · 37 · 5 · 318 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 3 -2 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-441279,-124362995] |
[a1,a2,a3,a4,a6] |
Generators |
[3256457185:2649582282325:4913] |
Generators of the group modulo torsion |
j |
-15284209/1920 |
j-invariant |
L |
6.5108153846064 |
L(r)(E,1)/r! |
Ω |
0.091970984393116 |
Real period |
R |
17.698014834703 |
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 |
28830x1 86490bk1 |
Quadratic twists by: -3 -31 |