Atkin-Lehner |
2- 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
110544ds |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
67946532864 = 212 · 3 · 76 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-589584,174051156] |
[a1,a2,a3,a4,a6] |
Generators |
[452:330:1] [506:2352:1] |
Generators of the group modulo torsion |
j |
47034153084673/141 |
j-invariant |
L |
12.444045571817 |
L(r)(E,1)/r! |
Ω |
0.72756495676332 |
Real period |
R |
4.2759225324618 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001609 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6909d3 2256j3 |
Quadratic twists by: -4 -7 |