Atkin-Lehner |
2- 3- 23+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
98256m |
Isogeny class |
Conductor |
98256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
274176 |
Modular degree for the optimal curve |
Δ |
9890772811776 = 229 · 32 · 23 · 89 |
Discriminant |
Eigenvalues |
2- 3- -1 4 6 -3 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6096,101268] |
[a1,a2,a3,a4,a6] |
j |
6117442271569/2414739456 |
j-invariant |
L |
2.6388570619344 |
L(r)(E,1)/r! |
Ω |
0.65971430564214 |
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 |
12282h1 |
Quadratic twists by: -4 |