Atkin-Lehner |
2+ 3+ 23+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
98256a |
Isogeny class |
Conductor |
98256 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24768 |
Modular degree for the optimal curve |
Δ |
-113190912 = -1 · 211 · 33 · 23 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 -3 1 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,88,-432] |
[a1,a2,a3,a4,a6] |
j |
36382894/55269 |
j-invariant |
L |
1.9810574769695 |
L(r)(E,1)/r! |
Ω |
0.99052874920575 |
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 |
49128g1 |
Quadratic twists by: -4 |