Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32490h |
Isogeny class |
Conductor |
32490 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
583680 |
Modular degree for the optimal curve |
Δ |
2540584782153622800 = 24 · 39 · 52 · 199 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-950400,348516400] |
[a1,a2,a3,a4,a6] |
j |
403583419/10800 |
j-invariant |
L |
1.0245811799755 |
L(r)(E,1)/r! |
Ω |
0.25614529499322 |
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 |
10830w1 32490bi1 |
Quadratic twists by: -3 -19 |