Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17850bh |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
13275937500 = 22 · 3 · 57 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7938,-275469] |
[a1,a2,a3,a4,a6] |
Generators |
[105:197:1] |
Generators of the group modulo torsion |
j |
3540302642521/849660 |
j-invariant |
L |
6.2704917938135 |
L(r)(E,1)/r! |
Ω |
0.50579874890576 |
Real period |
R |
3.0993017516251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53550x2 3570o2 124950ho2 |
Quadratic twists by: -3 5 -7 |