Atkin-Lehner |
2- 3- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
106800ci |
Isogeny class |
Conductor |
106800 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
720000 |
Modular degree for the optimal curve |
Δ |
-35433676800000000 = -1 · 222 · 35 · 58 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 2 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,63792,6621588] |
[a1,a2,a3,a4,a6] |
Generators |
[162:4608:1] |
Generators of the group modulo torsion |
j |
17943021455/22146048 |
j-invariant |
L |
7.6311856574262 |
L(r)(E,1)/r! |
Ω |
0.24582108146607 |
Real period |
R |
1.5521829187587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999776941 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13350n1 106800bi1 |
Quadratic twists by: -4 5 |