Atkin-Lehner |
2- 3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
6396d |
Isogeny class |
Conductor |
6396 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
600 |
Modular degree for the optimal curve |
Δ |
-25584 = -1 · 24 · 3 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 -2 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14,-27] |
[a1,a2,a3,a4,a6] |
Generators |
[147:253:27] |
Generators of the group modulo torsion |
j |
-20353792/1599 |
j-invariant |
L |
5.2222395577393 |
L(r)(E,1)/r! |
Ω |
1.2213228019253 |
Real period |
R |
4.275888036731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25584n1 102336q1 19188n1 83148o1 |
Quadratic twists by: -4 8 -3 13 |