Atkin-Lehner |
3- 19- 101- |
Signs for the Atkin-Lehner involutions |
Class |
109383o |
Isogeny class |
Conductor |
109383 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
198720 |
Modular degree for the optimal curve |
Δ |
270843136917 = 3 · 197 · 101 |
Discriminant |
Eigenvalues |
-2 3- 0 2 5 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3008,-59368] |
[a1,a2,a3,a4,a6] |
j |
64000000/5757 |
j-invariant |
L |
2.5933923181208 |
L(r)(E,1)/r! |
Ω |
0.6483480836563 |
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 |
5757a1 |
Quadratic twists by: -19 |