Atkin-Lehner |
2+ 3+ 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
93786p |
Isogeny class |
Conductor |
93786 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-1383507062784 = -1 · 212 · 32 · 76 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1886,-46220] |
[a1,a2,a3,a4,a6] |
Generators |
[1245:43355:1] |
Generators of the group modulo torsion |
j |
6300872423/11759616 |
j-invariant |
L |
4.6504937842415 |
L(r)(E,1)/r! |
Ω |
0.44720006598406 |
Real period |
R |
5.1995674235613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999880251 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1914e1 |
Quadratic twists by: -7 |