Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550dn |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
436929449522343750 = 2 · 314 · 57 · 7 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-193730,-8060853] |
[a1,a2,a3,a4,a6] |
Generators |
[-1026:31143:8] |
Generators of the group modulo torsion |
j |
70593496254289/38358689670 |
j-invariant |
L |
9.1293783200587 |
L(r)(E,1)/r! |
Ω |
0.24272477498508 |
Real period |
R |
4.7015072527352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999689 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17850f4 10710o3 |
Quadratic twists by: -3 5 |