Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280dl |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
592704000000 = 212 · 33 · 56 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 -6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2667,-37926] |
[a1,a2,a3,a4,a6] |
Generators |
[133:1400:1] [-35:112:1] |
Generators of the group modulo torsion |
j |
55306341/15625 |
j-invariant |
L |
8.9450311207944 |
L(r)(E,1)/r! |
Ω |
0.67858263734469 |
Real period |
R |
0.54924722431965 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2205d2 35280cy2 35280da2 |
Quadratic twists by: -4 -3 -7 |