Atkin-Lehner |
2- 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
3648bc |
Isogeny class |
Conductor |
3648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-425852928 = -1 · 217 · 32 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -4 -4 -4 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,95,-959] |
[a1,a2,a3,a4,a6] |
Generators |
[13:48:1] |
Generators of the group modulo torsion |
j |
715822/3249 |
j-invariant |
L |
1.8843611366545 |
L(r)(E,1)/r! |
Ω |
0.84628454670389 |
Real period |
R |
0.55665707946389 |
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 |
3648n2 912d2 10944cr2 91200im2 |
Quadratic twists by: -4 8 -3 5 |