Atkin-Lehner |
3- 5- 37- 67- |
Signs for the Atkin-Lehner involutions |
Class |
37185i |
Isogeny class |
Conductor |
37185 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1382724225 = 32 · 52 · 372 · 672 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-780,8127] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:68:1] |
Generators of the group modulo torsion |
j |
52485860157121/1382724225 |
j-invariant |
L |
4.6295014097688 |
L(r)(E,1)/r! |
Ω |
1.5156007706197 |
Real period |
R |
3.0545652255612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
111555m2 |
Quadratic twists by: -3 |