Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040ch |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
38563026919464960 = 213 · 312 · 5 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-132656,-15973824] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:726:1] |
Generators of the group modulo torsion |
j |
35578826569/5314410 |
j-invariant |
L |
2.5320675288512 |
L(r)(E,1)/r! |
Ω |
0.25266260664975 |
Real period |
R |
2.5053841191875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3630w5 116160jn4 87120gk4 240b5 |
Quadratic twists by: -4 8 -3 -11 |