Atkin-Lehner |
3- 5- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98175bp |
Isogeny class |
Conductor |
98175 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
185698503375 = 3 · 53 · 72 · 112 · 174 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 11+ 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2398,-40363] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:64:1] |
Generators of the group modulo torsion |
j |
12200357438261/1485588027 |
j-invariant |
L |
4.8833357386566 |
L(r)(E,1)/r! |
Ω |
0.68768056250817 |
Real period |
R |
1.7752921963921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999871633 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98175o2 |
Quadratic twists by: 5 |