Atkin-Lehner |
2- 3+ 29- 71- |
Signs for the Atkin-Lehner involutions |
Class |
98832j |
Isogeny class |
Conductor |
98832 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-2399152195436544 = -1 · 216 · 36 · 294 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 0 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-484392,-129620880] |
[a1,a2,a3,a4,a6] |
j |
-3068707865547656233/585730516464 |
j-invariant |
L |
2.8954443680125 |
L(r)(E,1)/r! |
Ω |
0.090482641517924 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12354e1 |
Quadratic twists by: -4 |