Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720ev |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-453869568000000 = -1 · 221 · 36 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 0 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17292,-1347824] |
[a1,a2,a3,a4,a6] |
Generators |
[162:320:1] |
Generators of the group modulo torsion |
j |
-2992209121/2375000 |
j-invariant |
L |
7.5650245559402 |
L(r)(E,1)/r! |
Ω |
0.20131362840843 |
Real period |
R |
1.5657626311337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999256 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54720bq1 13680z1 6080p1 |
Quadratic twists by: -4 8 -3 |