Atkin-Lehner |
2- 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3230g |
Isogeny class |
Conductor |
3230 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
28872057169700 = 22 · 52 · 17 · 198 |
Discriminant |
Eigenvalues |
2- 0 5- 4 0 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11782,-415919] |
[a1,a2,a3,a4,a6] |
j |
180861533908915761/28872057169700 |
j-invariant |
L |
3.7054930701323 |
L(r)(E,1)/r! |
Ω |
0.46318663376654 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25840bd4 103360o4 29070g4 16150a3 |
Quadratic twists by: -4 8 -3 5 |