Atkin-Lehner |
2+ 3+ 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86730d |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3494400 |
Modular degree for the optimal curve |
Δ |
426680376874762500 = 22 · 35 · 55 · 79 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5439858,-4885646688] |
[a1,a2,a3,a4,a6] |
j |
441168165400018447/10573537500 |
j-invariant |
L |
1.7794090145067 |
L(r)(E,1)/r! |
Ω |
0.098856055621246 |
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 |
86730bn1 |
Quadratic twists by: -7 |