Atkin-Lehner |
2+ 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
106032c |
Isogeny class |
Conductor |
106032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-183223296 = -1 · 210 · 34 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 1 4 -4 1 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-360,-2592] |
[a1,a2,a3,a4,a6] |
j |
-2287396/81 |
j-invariant |
L |
2.1870097239856 |
L(r)(E,1)/r! |
Ω |
0.54675243118204 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53016b1 106032d1 |
Quadratic twists by: -4 -47 |