Atkin-Lehner |
2- 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
69184f |
Isogeny class |
Conductor |
69184 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24064 |
Modular degree for the optimal curve |
Δ |
4427776 = 212 · 23 · 47 |
Discriminant |
Eigenvalues |
2- 0 2 -4 0 4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1444,21120] |
[a1,a2,a3,a4,a6] |
j |
81295282368/1081 |
j-invariant |
L |
2.2354379080984 |
L(r)(E,1)/r! |
Ω |
2.2354378920544 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69184b1 34592b1 |
Quadratic twists by: -4 8 |