Atkin-Lehner |
2+ 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970bq |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-124211139809990940 = -1 · 22 · 37 · 5 · 76 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1444284,-667931972] |
[a1,a2,a3,a4,a6] |
j |
-3884775383991601/1448254140 |
j-invariant |
L |
2.4788439304976 |
L(r)(E,1)/r! |
Ω |
0.068856775752362 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990bm3 1530d3 |
Quadratic twists by: -3 -7 |