Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
11760cd |
Isogeny class |
Conductor |
11760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
19834604912640000 = 218 · 3 · 54 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-275366296,-1758883007596] |
[a1,a2,a3,a4,a6] |
j |
4791901410190533590281/41160000 |
j-invariant |
L |
2.6684210335007 |
L(r)(E,1)/r! |
Ω |
0.037061403243065 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1470b7 47040ey8 35280fe8 58800fe8 |
Quadratic twists by: -4 8 -3 5 |