Atkin-Lehner |
2- 3- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
119616ba |
Isogeny class |
Conductor |
119616 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
6309822468096 = 212 · 34 · 74 · 892 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11737,470375] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:840:1] |
Generators of the group modulo torsion |
j |
43658828648128/1540484001 |
j-invariant |
L |
10.829643223241 |
L(r)(E,1)/r! |
Ω |
0.74806599409328 |
Real period |
R |
1.8096069198186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025951 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
119616s2 59808h1 |
Quadratic twists by: -4 8 |