Atkin-Lehner |
2- 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32736j |
Isogeny class |
Conductor |
32736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
19456 |
Modular degree for the optimal curve |
Δ |
602800704 = 26 · 34 · 112 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-254,-936] |
[a1,a2,a3,a4,a6] |
Generators |
[68:540:1] |
Generators of the group modulo torsion |
j |
28428476608/9418761 |
j-invariant |
L |
3.5452036543189 |
L(r)(E,1)/r! |
Ω |
1.227259191254 |
Real period |
R |
2.8887163197341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32736l1 65472ch2 98208f1 |
Quadratic twists by: -4 8 -3 |