Atkin-Lehner |
2+ 3- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89040u |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
Δ |
3.0500275216241E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1023230160,12597567516900] |
[a1,a2,a3,a4,a6] |
j |
115702769301750288368222218564/2978542501586017340625 |
j-invariant |
L |
5.1968990682143 |
L(r)(E,1)/r! |
Ω |
0.074241415466476 |
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 |
44520d4 |
Quadratic twists by: -4 |