Atkin-Lehner |
2- 3- 5- 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
38190bj |
Isogeny class |
Conductor |
38190 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
3500342640000 = 27 · 33 · 54 · 192 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19095,1010025] |
[a1,a2,a3,a4,a6] |
Generators |
[60:-315:1] |
Generators of the group modulo torsion |
j |
769988292277866481/3500342640000 |
j-invariant |
L |
11.292534204521 |
L(r)(E,1)/r! |
Ω |
0.79513088238499 |
Real period |
R |
0.16907270737987 |
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 |
114570m2 |
Quadratic twists by: -3 |