Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11550ca |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
2184 |
Product of Tamagawa factors cp |
Δ |
1.6880943402309E+29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1416506763,5504441092281] |
[a1,a2,a3,a4,a6] |
Generators |
[-37665:2348082:1] |
Generators of the group modulo torsion |
j |
160934676078320454012702173/86430430219822569086976 |
j-invariant |
L |
6.168880719627 |
L(r)(E,1)/r! |
Ω |
0.028153937040189 |
Real period |
R |
0.40130502246222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92400hs2 34650bx2 11550bc2 80850hh2 |
Quadratic twists by: -4 -3 5 -7 |