Atkin-Lehner |
2+ 3+ 5- 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
41610d |
Isogeny class |
Conductor |
41610 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
21345930000 = 24 · 34 · 54 · 192 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -4 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-722,-2844] |
[a1,a2,a3,a4,a6] |
Generators |
[-194:367:8] [-23:59:1] |
Generators of the group modulo torsion |
j |
41713327443241/21345930000 |
j-invariant |
L |
5.3496568662766 |
L(r)(E,1)/r! |
Ω |
0.97273067964433 |
Real period |
R |
0.68745349794981 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124830ca1 |
Quadratic twists by: -3 |