Atkin-Lehner |
2+ 5- 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86450o |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2165760 |
Modular degree for the optimal curve |
Δ |
1089069085884416000 = 230 · 53 · 7 · 132 · 193 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ -4 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-790616,265815078] |
[a1,a2,a3,a4,a6] |
j |
437229752177257616429/8712552687075328 |
j-invariant |
L |
0.5515019395353 |
L(r)(E,1)/r! |
Ω |
0.27575091958885 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86450bt1 |
Quadratic twists by: 5 |