Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
101136cz |
Isogeny class |
Conductor |
101136 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
776548459669248 = 28 · 314 · 73 · 432 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-74132,-7677048] |
[a1,a2,a3,a4,a6] |
Generators |
[2666:17415:8] |
Generators of the group modulo torsion |
j |
513112549232176/8843709681 |
j-invariant |
L |
10.387579130738 |
L(r)(E,1)/r! |
Ω |
0.28963546167212 |
Real period |
R |
2.5617372019474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25284b2 101136bu2 |
Quadratic twists by: -4 -7 |