Atkin-Lehner |
2+ 3- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86730z |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
10402873950470400 = 28 · 34 · 52 · 78 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-85874,-8357884] |
[a1,a2,a3,a4,a6] |
Generators |
[-174:1237:1] |
Generators of the group modulo torsion |
j |
595269019303561/88422969600 |
j-invariant |
L |
5.7897902913201 |
L(r)(E,1)/r! |
Ω |
0.28166404873273 |
Real period |
R |
2.5694574476324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999816005 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12390e2 |
Quadratic twists by: -7 |