Atkin-Lehner |
3- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
56925r |
Isogeny class |
Conductor |
56925 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-9320912841796875 = -1 · 38 · 512 · 11 · 232 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11+ 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-27230,-4949728] |
[a1,a2,a3,a4,a6] |
Generators |
[379:6060:1] |
Generators of the group modulo torsion |
j |
-196021690129/818296875 |
j-invariant |
L |
2.9723701000517 |
L(r)(E,1)/r! |
Ω |
0.16923027068176 |
Real period |
R |
2.1955071100267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998092 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18975q2 11385m2 |
Quadratic twists by: -3 5 |