Atkin-Lehner |
3- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
3735c |
Isogeny class |
Conductor |
3735 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-6703299342731278125 = -1 · 38 · 55 · 836 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -2 4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-171630,127580701] |
[a1,a2,a3,a4,a6] |
Generators |
[3046:85129:8] |
Generators of the group modulo torsion |
j |
-766967947453190881/9195198001003125 |
j-invariant |
L |
4.009747900321 |
L(r)(E,1)/r! |
Ω |
0.20133315600529 |
Real period |
R |
3.3193306556155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59760w2 1245b2 18675h2 |
Quadratic twists by: -4 -3 5 |