Atkin-Lehner |
2+ 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9240b |
Isogeny class |
Conductor |
9240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1.0505390821566E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6054824,14499537676] |
[a1,a2,a3,a4,a6] |
j |
11986661998777424518222/51295853620928503125 |
j-invariant |
L |
0.90910107317471 |
L(r)(E,1)/r! |
Ω |
0.075758422764559 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18480t4 73920ds3 27720bs3 46200cl3 |
Quadratic twists by: -4 8 -3 5 |