Atkin-Lehner |
2- 3- 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40698be |
Isogeny class |
Conductor |
40698 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
7599500849613456 = 24 · 38 · 74 · 174 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-152114,22484513] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:6031:1] |
Generators of the group modulo torsion |
j |
533950585848403417/10424555349264 |
j-invariant |
L |
9.9578697438414 |
L(r)(E,1)/r! |
Ω |
0.41714642836235 |
Real period |
R |
2.9839251479794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13566j2 |
Quadratic twists by: -3 |