Atkin-Lehner |
5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
129605h |
Isogeny class |
Conductor |
129605 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4239360 |
Modular degree for the optimal curve |
Δ |
-1.7058256662211E+20 |
Discriminant |
Eigenvalues |
-1 1 5+ 7- 5 -6 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-285671,-631150444] |
[a1,a2,a3,a4,a6] |
Generators |
[5329489:329891273:1331] |
Generators of the group modulo torsion |
j |
-529/35 |
j-invariant |
L |
3.5943957549008 |
L(r)(E,1)/r! |
Ω |
0.079667992415919 |
Real period |
R |
11.279296873581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010503 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18515o1 129605z1 |
Quadratic twists by: -7 -23 |