Atkin-Lehner |
2+ 3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19890b |
Isogeny class |
Conductor |
19890 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7582013119014750 = 2 · 37 · 53 · 138 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-617355,-186501425] |
[a1,a2,a3,a4,a6] |
j |
35694515311673154481/10400566692750 |
j-invariant |
L |
1.3625842361271 |
L(r)(E,1)/r! |
Ω |
0.17032302951589 |
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 |
6630r4 99450dm4 |
Quadratic twists by: -3 5 |