Atkin-Lehner |
2- 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32736j |
Isogeny class |
Conductor |
32736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-46811432448 = -1 · 29 · 32 · 11 · 314 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,736,-7272] |
[a1,a2,a3,a4,a6] |
Generators |
[522:4485:8] |
Generators of the group modulo torsion |
j |
85999709944/91428579 |
j-invariant |
L |
3.5452036543189 |
L(r)(E,1)/r! |
Ω |
0.61362959562699 |
Real period |
R |
5.7774326394682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32736l2 65472ch3 98208f2 |
Quadratic twists by: -4 8 -3 |