Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
84960br |
Isogeny class |
Conductor |
84960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-15483960000 = -1 · 26 · 38 · 54 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,483,4376] |
[a1,a2,a3,a4,a6] |
Generators |
[7:90:1] |
Generators of the group modulo torsion |
j |
267089984/331875 |
j-invariant |
L |
5.1396168139476 |
L(r)(E,1)/r! |
Ω |
0.83328659584392 |
Real period |
R |
0.77098576213361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008888 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84960bm1 28320e1 |
Quadratic twists by: -4 -3 |