Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
108192cd |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
19823341690564608 = 212 · 3 · 78 · 234 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-72977,-3443553] |
[a1,a2,a3,a4,a6] |
Generators |
[-3111:50140:27] |
Generators of the group modulo torsion |
j |
89194791232/41136627 |
j-invariant |
L |
10.363245815197 |
L(r)(E,1)/r! |
Ω |
0.30356767203149 |
Real period |
R |
4.2672716634737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016157 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108192e3 15456p3 |
Quadratic twists by: -4 -7 |