Atkin-Lehner |
2- 3- 11+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
97614be |
Isogeny class |
Conductor |
97614 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
409600 |
Modular degree for the optimal curve |
Δ |
-4565095196112 = -1 · 24 · 314 · 112 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3- 4 -5 11+ 1 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3128,-122101] |
[a1,a2,a3,a4,a6] |
j |
-4641584349241/6262133328 |
j-invariant |
L |
4.8652208527078 |
L(r)(E,1)/r! |
Ω |
0.30407628869582 |
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 |
32538l1 |
Quadratic twists by: -3 |