Atkin-Lehner |
2+ 3- 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
112560o |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2470917120 = 210 · 3 · 5 · 74 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21456,-1216860] |
[a1,a2,a3,a4,a6] |
Generators |
[68755:1549674:125] |
Generators of the group modulo torsion |
j |
1066817860621636/2413005 |
j-invariant |
L |
6.0957006445708 |
L(r)(E,1)/r! |
Ω |
0.39446705407052 |
Real period |
R |
7.7265016267818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999583238 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56280b4 |
Quadratic twists by: -4 |