Atkin-Lehner |
3+ 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
56925f |
Isogeny class |
Conductor |
56925 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-1176866560546875 = -1 · 39 · 59 · 113 · 23 |
Discriminant |
Eigenvalues |
-2 3+ 5- 2 11+ 1 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-124875,-17064844] |
[a1,a2,a3,a4,a6] |
Generators |
[3282:6935:8] |
Generators of the group modulo torsion |
j |
-5601816576/30613 |
j-invariant |
L |
3.1274495479277 |
L(r)(E,1)/r! |
Ω |
0.12694300446699 |
Real period |
R |
6.1591608786778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000601 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56925g1 56925e1 |
Quadratic twists by: -3 5 |