Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40950bm |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
66556260225000000 = 26 · 38 · 58 · 74 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1911042,1017244116] |
[a1,a2,a3,a4,a6] |
Generators |
[924:-6762:1] |
Generators of the group modulo torsion |
j |
67762119444423769/5843073600 |
j-invariant |
L |
4.2247982424114 |
L(r)(E,1)/r! |
Ω |
0.33242239912457 |
Real period |
R |
0.79432039130407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999943 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13650ct2 8190bq2 |
Quadratic twists by: -3 5 |