Atkin-Lehner |
2- 3+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
117648p |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1091929812074496 = 215 · 33 · 192 · 434 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 -2 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37179,2255210] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:1750:1] |
Generators of the group modulo torsion |
j |
51391715286339/9873497288 |
j-invariant |
L |
9.984113791668 |
L(r)(E,1)/r! |
Ω |
0.46538475661157 |
Real period |
R |
5.3633652663606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035307 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14706n2 117648q2 |
Quadratic twists by: -4 -3 |