Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3264d |
Isogeny class |
Conductor |
3264 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-3264 = -1 · 26 · 3 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -2 -3 -3 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1,-3] |
[a1,a2,a3,a4,a6] |
Generators |
[4:7:1] |
Generators of the group modulo torsion |
j |
512/51 |
j-invariant |
L |
3.2447649437119 |
L(r)(E,1)/r! |
Ω |
2.1236337899884 |
Real period |
R |
1.527930549518 |
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 |
3264m1 1632k1 9792ba1 81600dv1 |
Quadratic twists by: -4 8 -3 5 |