Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100cj |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-72913705200 = -1 · 24 · 312 · 52 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -5 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-89985,-10389715] |
[a1,a2,a3,a4,a6] |
j |
-805661175040/729 |
j-invariant |
L |
0.55129873557292 |
L(r)(E,1)/r! |
Ω |
0.13782468392755 |
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 |
14700m1 44100ds1 44100ck1 |
Quadratic twists by: -3 5 -7 |