Atkin-Lehner |
2- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56056p |
Isogeny class |
Conductor |
56056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
285608476083746816 = 211 · 79 · 112 · 134 |
Discriminant |
Eigenvalues |
2- -2 2 7- 11+ 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1751472,891226720] |
[a1,a2,a3,a4,a6] |
Generators |
[-63068:2608515:64] |
Generators of the group modulo torsion |
j |
7189873413518/3455881 |
j-invariant |
L |
4.4961538840578 |
L(r)(E,1)/r! |
Ω |
0.30386256080734 |
Real period |
R |
7.3983347472361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000106 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112112o2 56056s2 |
Quadratic twists by: -4 -7 |