Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650cv |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
3072 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
2187646755840000000 = 216 · 34 · 57 · 74 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-567963,148542417] |
[a1,a2,a3,a4,a6] |
Generators |
[8382:-768591:1] |
Generators of the group modulo torsion |
j |
1296772724742600169/140009392373760 |
j-invariant |
L |
8.4768865705713 |
L(r)(E,1)/r! |
Ω |
0.25216289442104 |
Real period |
R |
0.17508702455911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
109200di1 40950bs1 2730a1 95550gw1 |
Quadratic twists by: -4 -3 5 -7 |