Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720by |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
39400062612480 = 210 · 310 · 5 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9192,-154456] |
[a1,a2,a3,a4,a6] |
Generators |
[-12280:116991:512] |
Generators of the group modulo torsion |
j |
115060504576/52780005 |
j-invariant |
L |
7.7386983211908 |
L(r)(E,1)/r! |
Ω |
0.50933994101295 |
Real period |
R |
7.5967911585407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720fd1 6840t1 18240e1 |
Quadratic twists by: -4 8 -3 |