Atkin-Lehner |
3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
3195a |
Isogeny class |
Conductor |
3195 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-188661555 = -1 · 312 · 5 · 71 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 2 -1 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-228,-1481] |
[a1,a2,a3,a4,a6] |
j |
-1798045696/258795 |
j-invariant |
L |
1.2188961227633 |
L(r)(E,1)/r! |
Ω |
0.60944806138164 |
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 |
51120bg1 1065c1 15975e1 |
Quadratic twists by: -4 -3 5 |