Atkin-Lehner |
2+ 3- 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
37170k |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3286159746806670300 = 22 · 318 · 52 · 7 · 594 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-509409,109566513] |
[a1,a2,a3,a4,a6] |
Generators |
[67:8669:1] |
Generators of the group modulo torsion |
j |
20053791912530508049/4507763713040700 |
j-invariant |
L |
3.1629160499108 |
L(r)(E,1)/r! |
Ω |
0.23703806490731 |
Real period |
R |
1.6679367779744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390s4 |
Quadratic twists by: -3 |