Atkin-Lehner |
3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
16317j |
Isogeny class |
Conductor |
16317 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3375529901089101 = -1 · 37 · 77 · 374 |
Discriminant |
Eigenvalues |
-1 3- -2 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,36814,640406] |
[a1,a2,a3,a4,a6] |
Generators |
[66:1798:1] [93:2158:1] |
Generators of the group modulo torsion |
j |
64336588343/39357381 |
j-invariant |
L |
4.1125040168188 |
L(r)(E,1)/r! |
Ω |
0.27494278819752 |
Real period |
R |
3.7394179747161 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5439f4 2331b4 |
Quadratic twists by: -3 -7 |