Atkin-Lehner |
2- 3+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
12864be |
Isogeny class |
Conductor |
12864 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-64819740672 = -1 · 214 · 310 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -2 4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5493,159021] |
[a1,a2,a3,a4,a6] |
Generators |
[330:243:8] |
Generators of the group modulo torsion |
j |
-1118952448000/3956283 |
j-invariant |
L |
3.9805755365634 |
L(r)(E,1)/r! |
Ω |
1.1078812425632 |
Real period |
R |
1.7964811496194 |
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 |
12864k1 3216g1 38592cc1 |
Quadratic twists by: -4 8 -3 |