Atkin-Lehner |
3- 5- 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40755s |
Isogeny class |
Conductor |
40755 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
24760613334053025 = 38 · 52 · 114 · 134 · 192 |
Discriminant |
Eigenvalues |
1 3- 5- -4 11+ 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-132928,17037473] |
[a1,a2,a3,a4,a6] |
Generators |
[67:2870:1] |
Generators of the group modulo torsion |
j |
259757698172722160761/24760613334053025 |
j-invariant |
L |
7.0529893824124 |
L(r)(E,1)/r! |
Ω |
0.367646175363 |
Real period |
R |
2.3980221524957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
122265l2 |
Quadratic twists by: -3 |