Atkin-Lehner |
3- 5- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
32445p |
Isogeny class |
Conductor |
32445 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
4224437795025 = 314 · 52 · 73 · 103 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -2 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5409,-115560] |
[a1,a2,a3,a4,a6] |
j |
24010007244049/5794839225 |
j-invariant |
L |
3.3987955231713 |
L(r)(E,1)/r! |
Ω |
0.56646592052801 |
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 |
10815g1 |
Quadratic twists by: -3 |