Atkin-Lehner |
2+ 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
85918k |
Isogeny class |
Conductor |
85918 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4178511273114752 = 27 · 74 · 172 · 196 |
Discriminant |
Eigenvalues |
2+ 2 -4 7- -6 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-252707,-48902515] |
[a1,a2,a3,a4,a6] |
Generators |
[1573:57940:1] |
Generators of the group modulo torsion |
j |
37936442980801/88817792 |
j-invariant |
L |
3.5502923700236 |
L(r)(E,1)/r! |
Ω |
0.21296395834195 |
Real period |
R |
4.1677150425975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976684 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
238a2 |
Quadratic twists by: -19 |