Atkin-Lehner |
3- 5- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
52065r |
Isogeny class |
Conductor |
52065 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
81408 |
Modular degree for the optimal curve |
Δ |
2241227528865 = 318 · 5 · 13 · 89 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3272,1154] |
[a1,a2,a3,a4,a6] |
Generators |
[64:193:1] |
Generators of the group modulo torsion |
j |
5312655169849/3074386185 |
j-invariant |
L |
3.1030727807019 |
L(r)(E,1)/r! |
Ω |
0.69382085067476 |
Real period |
R |
4.4724409444513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000097 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17355i1 |
Quadratic twists by: -3 |