Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720co |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-23528598405120 = -1 · 222 · 310 · 5 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5772,-288016] |
[a1,a2,a3,a4,a6] |
j |
-111284641/123120 |
j-invariant |
L |
4.1997628946835 |
L(r)(E,1)/r! |
Ω |
0.26248518090942 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720eq1 1710d1 18240k1 |
Quadratic twists by: -4 8 -3 |