Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
32340y |
Isogeny class |
Conductor |
32340 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
265177156527360 = 28 · 33 · 5 · 78 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- 5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23781,-1182105] |
[a1,a2,a3,a4,a6] |
j |
1007878144/179685 |
j-invariant |
L |
3.5023929805692 |
L(r)(E,1)/r! |
Ω |
0.38915477561855 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
129360dm1 97020cd1 32340u1 |
Quadratic twists by: -4 -3 -7 |