Atkin-Lehner |
2+ 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10710f |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3935090287918440000 = 26 · 310 · 54 · 78 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-989100,366645136] |
[a1,a2,a3,a4,a6] |
j |
146796951366228945601/5397929064360000 |
j-invariant |
L |
0.98359603433953 |
L(r)(E,1)/r! |
Ω |
0.24589900858488 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
85680el3 3570t3 53550eb3 74970by3 |
Quadratic twists by: -4 -3 5 -7 |