Atkin-Lehner |
2- 3- 5- 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32190w |
Isogeny class |
Conductor |
32190 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
178654500 = 22 · 32 · 53 · 29 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -4 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-655,-6475] |
[a1,a2,a3,a4,a6] |
j |
31080575499121/178654500 |
j-invariant |
L |
5.6641840541557 |
L(r)(E,1)/r! |
Ω |
0.94403067569302 |
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 |
96570e1 |
Quadratic twists by: -3 |