Atkin-Lehner |
2+ 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
5922l |
Isogeny class |
Conductor |
5922 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-345046360522752 = -1 · 222 · 36 · 74 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 2 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,15015,-548947] |
[a1,a2,a3,a4,a6] |
j |
513518298333039/473314623488 |
j-invariant |
L |
2.3644807890257 |
L(r)(E,1)/r! |
Ω |
0.29556009862822 |
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 |
47376bh1 658e1 41454v1 |
Quadratic twists by: -4 -3 -7 |