Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3264c |
Isogeny class |
Conductor |
3264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-62132355072 = -1 · 215 · 38 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 0 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1793,32193] |
[a1,a2,a3,a4,a6] |
Generators |
[19:68:1] |
Generators of the group modulo torsion |
j |
-19465109000/1896129 |
j-invariant |
L |
2.8466308247538 |
L(r)(E,1)/r! |
Ω |
1.0804936549479 |
Real period |
R |
1.3172825271663 |
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 |
3264k2 1632i2 9792t2 81600du2 |
Quadratic twists by: -4 8 -3 5 |