Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
106200be |
Isogeny class |
Conductor |
106200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-172044000000 = -1 · 28 · 36 · 56 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 2 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,825,-17750] |
[a1,a2,a3,a4,a6] |
Generators |
[21:94:1] |
Generators of the group modulo torsion |
j |
21296/59 |
j-invariant |
L |
6.1044278264828 |
L(r)(E,1)/r! |
Ω |
0.52262717266966 |
Real period |
R |
2.9200681401103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003618 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11800c1 4248c1 |
Quadratic twists by: -3 5 |