Atkin-Lehner |
2+ 3- 67- |
Signs for the Atkin-Lehner involutions |
Class |
12864w |
Isogeny class |
Conductor |
12864 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-1117006848 = -1 · 210 · 35 · 672 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,235,-741] |
[a1,a2,a3,a4,a6] |
Generators |
[7:36:1] |
Generators of the group modulo torsion |
j |
1395654656/1090827 |
j-invariant |
L |
4.0458420356985 |
L(r)(E,1)/r! |
Ω |
0.86139473513004 |
Real period |
R |
0.93937004040029 |
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 |
12864bd1 804a1 38592bi1 |
Quadratic twists by: -4 8 -3 |