Atkin-Lehner |
2- 3- 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
98136f |
Isogeny class |
Conductor |
98136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-254368512 = -1 · 28 · 36 · 29 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 1 -3 0 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,105,-646] |
[a1,a2,a3,a4,a6] |
Generators |
[5:2:1] [13:54:1] |
Generators of the group modulo torsion |
j |
686000/1363 |
j-invariant |
L |
11.521643676528 |
L(r)(E,1)/r! |
Ω |
0.91297034419272 |
Real period |
R |
1.5774942403093 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.00000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10904a1 |
Quadratic twists by: -3 |