Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15600cv |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-16613376000 = -1 · 218 · 3 · 53 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -2 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,632,1268] |
[a1,a2,a3,a4,a6] |
Generators |
[7:78:1] |
Generators of the group modulo torsion |
j |
54439939/32448 |
j-invariant |
L |
6.3708081366089 |
L(r)(E,1)/r! |
Ω |
0.75485708287149 |
Real period |
R |
2.1099385172271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1950e1 62400fn1 46800fj1 15600bs1 |
Quadratic twists by: -4 8 -3 5 |