Atkin-Lehner |
2- 3- 23- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
98256p |
Isogeny class |
Conductor |
98256 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
98496 |
Modular degree for the optimal curve |
Δ |
-1811054592 = -1 · 215 · 33 · 23 · 89 |
Discriminant |
Eigenvalues |
2- 3- 4 -4 4 5 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,304,-108] |
[a1,a2,a3,a4,a6] |
j |
756058031/442152 |
j-invariant |
L |
5.2539316430359 |
L(r)(E,1)/r! |
Ω |
0.87565529624156 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12282f1 |
Quadratic twists by: -4 |