Atkin-Lehner |
2+ 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32736b |
Isogeny class |
Conductor |
32736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
907234504704 = 212 · 310 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 11- 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3729,75969] |
[a1,a2,a3,a4,a6] |
j |
1400416996672/221492799 |
j-invariant |
L |
1.6942139958901 |
L(r)(E,1)/r! |
Ω |
0.84710699794559 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32736e2 65472cg1 98208u2 |
Quadratic twists by: -4 8 -3 |