Atkin-Lehner |
2- 3+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83904v |
Isogeny class |
Conductor |
83904 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
549120 |
Modular degree for the optimal curve |
Δ |
-1341902141227008 = -1 · 215 · 311 · 19 · 233 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 -6 -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18049,2000353] |
[a1,a2,a3,a4,a6] |
j |
-19845281961224/40951603431 |
j-invariant |
L |
0.85732734530207 |
L(r)(E,1)/r! |
Ω |
0.42866367410463 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83904bu1 41952o1 |
Quadratic twists by: -4 8 |