Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550ea |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
1152161718750000000 = 27 · 36 · 514 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-310735730,-2108234425103] |
[a1,a2,a3,a4,a6] |
Generators |
[-10177:5071:1] |
Generators of the group modulo torsion |
j |
291306206119284545407569/101150000000 |
j-invariant |
L |
10.188781101839 |
L(r)(E,1)/r! |
Ω |
0.035958515686619 |
Real period |
R |
2.5298947440026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5950c4 10710j3 |
Quadratic twists by: -3 5 |