Atkin-Lehner |
3- 7- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34713j |
Isogeny class |
Conductor |
34713 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
1248308673633 = 313 · 72 · 19 · 292 |
Discriminant |
Eigenvalues |
1 3- 0 7- -2 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7182,-226233] |
[a1,a2,a3,a4,a6] |
j |
56203893222625/1712357577 |
j-invariant |
L |
2.0782846395181 |
L(r)(E,1)/r! |
Ω |
0.51957115987629 |
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 |
11571i1 |
Quadratic twists by: -3 |