Atkin-Lehner |
2- 3- 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
42966be |
Isogeny class |
Conductor |
42966 |
Conductor |
∏ cp |
1008 |
Product of Tamagawa factors cp |
Δ |
-2.9162603279328E+29 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,403582405,-25793932376149] |
[a1,a2,a3,a4,a6] |
Generators |
[1564896602332650825:1057747321096892782334:3425878546875] |
Generators of the group modulo torsion |
j |
9972243096256531073904212375/400035710278854173721100288 |
j-invariant |
L |
9.3383071269718 |
L(r)(E,1)/r! |
Ω |
0.014780813651997 |
Real period |
R |
22.563776032412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
4774e3 |
Quadratic twists by: -3 |