Atkin-Lehner |
2- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344dj |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-16428483771392 = -1 · 210 · 78 · 112 · 23 |
Discriminant |
Eigenvalues |
2- -1 0 7+ 11- -5 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4927,-144167] |
[a1,a2,a3,a4,a6] |
j |
12914669408000/16043441183 |
j-invariant |
L |
1.4897430067914 |
L(r)(E,1)/r! |
Ω |
0.37243552427892 |
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 |
113344y1 28336c1 |
Quadratic twists by: -4 8 |