Atkin-Lehner |
2+ 3- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
32736d |
Isogeny class |
Conductor |
32736 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1400053248 = -1 · 29 · 36 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 11+ -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,232,1260] |
[a1,a2,a3,a4,a6] |
Generators |
[31:198:1] |
Generators of the group modulo torsion |
j |
2685619000/2734479 |
j-invariant |
L |
6.8035628634247 |
L(r)(E,1)/r! |
Ω |
1.0020571949617 |
Real period |
R |
2.263198447365 |
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 |
32736a2 65472bx2 98208z2 |
Quadratic twists by: -4 8 -3 |