Atkin-Lehner |
2- 3+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86100b |
Isogeny class |
Conductor |
86100 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
446778281250000 = 24 · 35 · 510 · 7 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8859033,-10146148938] |
[a1,a2,a3,a4,a6] |
j |
307569106352685236224/1787113125 |
j-invariant |
L |
1.575162888041 |
L(r)(E,1)/r! |
Ω |
0.087509050347997 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17220j1 |
Quadratic twists by: 5 |