Atkin-Lehner |
2- 5+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117040bb |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-2.9472108371176E+24 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11+ 5 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15063221,-85602198979] |
[a1,a2,a3,a4,a6] |
j |
-92282071901116472786944/719533895780669921875 |
j-invariant |
L |
4.0905548022496 |
L(r)(E,1)/r! |
Ω |
0.033806239139805 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7315b2 |
Quadratic twists by: -4 |