Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17850bi |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
143439866718750 = 2 · 33 · 57 · 76 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-32963,2216531] |
[a1,a2,a3,a4,a6] |
Generators |
[1510:12541:8] |
Generators of the group modulo torsion |
j |
253503932606569/9180151470 |
j-invariant |
L |
5.7542098409071 |
L(r)(E,1)/r! |
Ω |
0.57638872801595 |
Real period |
R |
4.9916051105946 |
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 |
53550z2 3570j2 124950hv2 |
Quadratic twists by: -3 5 -7 |