Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3264a |
Isogeny class |
Conductor |
3264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-322094128693248 = -1 · 221 · 312 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13793,1069665] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:1292:1] |
Generators of the group modulo torsion |
j |
-1107111813625/1228691592 |
j-invariant |
L |
3.0994497990493 |
L(r)(E,1)/r! |
Ω |
0.49251136082056 |
Real period |
R |
3.1465769580273 |
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 |
3264x2 102c2 9792p2 81600dw2 |
Quadratic twists by: -4 8 -3 5 |