Atkin-Lehner |
2+ 3+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
22704d |
Isogeny class |
Conductor |
22704 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4160 |
Modular degree for the optimal curve |
Δ |
-1839024 = -1 · 24 · 35 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -1 1 11+ 0 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-291,-1818] |
[a1,a2,a3,a4,a6] |
j |
-170912671744/114939 |
j-invariant |
L |
0.57776934850639 |
L(r)(E,1)/r! |
Ω |
0.57776934850638 |
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 |
11352f1 90816cl1 68112r1 |
Quadratic twists by: -4 8 -3 |