Atkin-Lehner |
2+ 3- 5- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
112560t |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
2736666777600 = 211 · 35 · 52 · 72 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 6 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-507920,139159668] |
[a1,a2,a3,a4,a6] |
Generators |
[406:-180:1] |
Generators of the group modulo torsion |
j |
7075881596303120162/1336263075 |
j-invariant |
L |
10.343744082114 |
L(r)(E,1)/r! |
Ω |
0.63727436918469 |
Real period |
R |
0.40578064083175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005392 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56280u2 |
Quadratic twists by: -4 |