Atkin-Lehner |
2- 3- 5- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
112560cs |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
524155612358246400 = 218 · 34 · 52 · 72 · 674 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6703600,6678194900] |
[a1,a2,a3,a4,a6] |
Generators |
[124700:44025930:1] |
Generators of the group modulo torsion |
j |
8133699171984602252401/127967678798400 |
j-invariant |
L |
9.8019055354908 |
L(r)(E,1)/r! |
Ω |
0.26830609197404 |
Real period |
R |
9.1331373005996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029735 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
14070g3 |
Quadratic twists by: -4 |