Atkin-Lehner |
3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37485o |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
117115782378525 = 39 · 52 · 77 · 172 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 0 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-47049,-3881620] |
[a1,a2,a3,a4,a6] |
j |
4973940243/50575 |
j-invariant |
L |
2.5948854206288 |
L(r)(E,1)/r! |
Ω |
0.32436067757817 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37485b2 5355a2 |
Quadratic twists by: -3 -7 |