Atkin-Lehner |
3+ 7+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
110019d |
Isogeny class |
Conductor |
110019 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4354560 |
Modular degree for the optimal curve |
Δ |
1.6658705849134E+19 |
Discriminant |
Eigenvalues |
-1 3+ 2 7+ 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13211832,18477312264] |
[a1,a2,a3,a4,a6] |
j |
52838773504575447817/3451287558537 |
j-invariant |
L |
1.876560730366 |
L(r)(E,1)/r! |
Ω |
0.20850673863752 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8463c1 |
Quadratic twists by: 13 |