Atkin-Lehner |
2+ 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
71400u |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-325186123500000000 = -1 · 28 · 38 · 59 · 73 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,171292,-2916588] |
[a1,a2,a3,a4,a6] |
Generators |
[255714:10123500:12167] |
Generators of the group modulo torsion |
j |
1111635514096/650372247 |
j-invariant |
L |
5.5898338604886 |
L(r)(E,1)/r! |
Ω |
0.17962529603057 |
Real period |
R |
7.7798533719982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000734 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71400ec2 |
Quadratic twists by: 5 |