Atkin-Lehner |
2- 3- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
74022s |
Isogeny class |
Conductor |
74022 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
150011084018952 = 23 · 36 · 136 · 732 |
Discriminant |
Eigenvalues |
2- 3- 0 4 6 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5256833,4638668865] |
[a1,a2,a3,a4,a6] |
Generators |
[1324:-641:1] |
Generators of the group modulo torsion |
j |
3328404840479049625/31078728 |
j-invariant |
L |
15.201788761245 |
L(r)(E,1)/r! |
Ω |
0.40301471217924 |
Real period |
R |
2.0955657310664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001312 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
438d2 |
Quadratic twists by: 13 |