Atkin-Lehner |
11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
116281d |
Isogeny class |
Conductor |
116281 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2.5321515789952E+20 |
Discriminant |
Eigenvalues |
2 1 1 2 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1201570,-918633897] |
[a1,a2,a3,a4,a6] |
Generators |
[1684373515646025210680443631123312287804697496990:121247726822084888906465251864616222854297898371007:310027819250413904134266977054688473544351000] |
Generators of the group modulo torsion |
j |
-122023936/161051 |
j-invariant |
L |
19.691804940419 |
L(r)(E,1)/r! |
Ω |
0.068731537282484 |
Real period |
R |
71.625798428916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10571a2 121d2 |
Quadratic twists by: -11 -31 |