Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550dn |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1306551389062500 = 22 · 310 · 58 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-114980,14934147] |
[a1,a2,a3,a4,a6] |
Generators |
[-578:38535:8] |
Generators of the group modulo torsion |
j |
14758408587889/114704100 |
j-invariant |
L |
9.1293783200587 |
L(r)(E,1)/r! |
Ω |
0.48544954997016 |
Real period |
R |
2.3507536263676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999689 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17850f2 10710o2 |
Quadratic twists by: -3 5 |