Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040cs |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
140316581560320 = 233 · 33 · 5 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 5 11- -5 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-845280,-298840320] |
[a1,a2,a3,a4,a6] |
j |
134766108430924201/283115520 |
j-invariant |
L |
2.8341440707088 |
L(r)(E,1)/r! |
Ω |
0.15745244837266 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3630z2 116160if2 87120ex2 29040ct2 |
Quadratic twists by: -4 8 -3 -11 |