Atkin-Lehner |
2- 3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
67620m |
Isogeny class |
Conductor |
67620 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
460086480 = 24 · 36 · 5 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-205,-398] |
[a1,a2,a3,a4,a6] |
j |
174456832/83835 |
j-invariant |
L |
1.3229174272463 |
L(r)(E,1)/r! |
Ω |
1.3229174249871 |
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 |
67620ba1 |
Quadratic twists by: -7 |