Atkin-Lehner |
2- 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70980w |
Isogeny class |
Conductor |
70980 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
870912 |
Modular degree for the optimal curve |
Δ |
-1036474958825233200 = -1 · 24 · 33 · 52 · 76 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-213165,61850088] |
[a1,a2,a3,a4,a6] |
j |
-13870539341824/13420809675 |
j-invariant |
L |
3.0288134160222 |
L(r)(E,1)/r! |
Ω |
0.25240111785601 |
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 |
5460e1 |
Quadratic twists by: 13 |