Atkin-Lehner |
2- 3- 5- 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
40470bm |
Isogeny class |
Conductor |
40470 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
8690794902000 = 24 · 32 · 53 · 19 · 714 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1824105,948098025] |
[a1,a2,a3,a4,a6] |
Generators |
[620:7145:1] |
Generators of the group modulo torsion |
j |
671232889744209177019921/8690794902000 |
j-invariant |
L |
11.606686620378 |
L(r)(E,1)/r! |
Ω |
0.51833865527428 |
Real period |
R |
0.93300381438808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
121410a4 |
Quadratic twists by: -3 |