Atkin-Lehner |
2+ 3- 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
86730bf |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3407040 |
Modular degree for the optimal curve |
Δ |
2.667354046875E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1753589,858417536] |
[a1,a2,a3,a4,a6] |
j |
12170564259418683835801/544357968750000000 |
j-invariant |
L |
2.0897620863408 |
L(r)(E,1)/r! |
Ω |
0.20897620495857 |
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 |
86730j1 |
Quadratic twists by: -7 |