Atkin-Lehner |
2+ 3+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
35088b |
Isogeny class |
Conductor |
35088 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
547780200311808 = 210 · 316 · 172 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -4 2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38096,2643888] |
[a1,a2,a3,a4,a6] |
Generators |
[1477:56270:1] |
Generators of the group modulo torsion |
j |
5971360481278276/534941601867 |
j-invariant |
L |
5.9708778017022 |
L(r)(E,1)/r! |
Ω |
0.50593777340645 |
Real period |
R |
5.9008025448471 |
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 |
17544g2 105264o2 |
Quadratic twists by: -4 -3 |