Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090da |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
-1.7665788819861E+28 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-292716871,6678951562265] |
[a1,a2,a3,a4,a6] |
Generators |
[-13204:2877485:1] |
Generators of the group modulo torsion |
j |
-18736995756767139956161/119334500162058560400 |
j-invariant |
L |
12.563438643531 |
L(r)(E,1)/r! |
Ω |
0.033506072205104 |
Real period |
R |
2.9293754213232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830bi4 |
Quadratic twists by: -23 |