Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37485x |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
27119881700664795 = 318 · 5 · 77 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1406138,-641385034] |
[a1,a2,a3,a4,a6] |
Generators |
[-684:562:1] |
Generators of the group modulo torsion |
j |
3585019225176649/316207395 |
j-invariant |
L |
3.1539129239051 |
L(r)(E,1)/r! |
Ω |
0.13864202436515 |
Real period |
R |
1.4217879365699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12495p4 5355s4 |
Quadratic twists by: -3 -7 |