Atkin-Lehner |
2- 59- |
Signs for the Atkin-Lehner involutions |
Class |
55696s |
Isogeny class |
Conductor |
55696 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-138607933098479024 = -1 · 24 · 599 |
Discriminant |
Eigenvalues |
2- -1 3 1 6 4 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,106751,11823152] |
[a1,a2,a3,a4,a6] |
Generators |
[112280740:35875340534:9938375] |
Generators of the group modulo torsion |
j |
199344128/205379 |
j-invariant |
L |
7.2394256657394 |
L(r)(E,1)/r! |
Ω |
0.21628733321004 |
Real period |
R |
16.735667221953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998417 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13924a2 944j2 |
Quadratic twists by: -4 -59 |