Atkin-Lehner |
2+ 3+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41952b |
Isogeny class |
Conductor |
41952 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
8909849664 = 26 · 36 · 192 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 -4 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-534,1584] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:76:1] |
Generators of the group modulo torsion |
j |
263621326528/139216401 |
j-invariant |
L |
1.8719377216147 |
L(r)(E,1)/r! |
Ω |
1.1416249343535 |
Real period |
R |
1.6397134166188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000047 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41952j1 83904bo2 125856bd1 |
Quadratic twists by: -4 8 -3 |