Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
71400ci |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3398640000000 = 210 · 3 · 57 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7008,210012] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:476:1] |
Generators of the group modulo torsion |
j |
2379293284/212415 |
j-invariant |
L |
4.5746835801984 |
L(r)(E,1)/r! |
Ω |
0.7728211524922 |
Real period |
R |
1.4798648967498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280y2 |
Quadratic twists by: 5 |