Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720cz |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-199618560 = -1 · 212 · 33 · 5 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-132,896] |
[a1,a2,a3,a4,a6] |
Generators |
[5:19:1] |
Generators of the group modulo torsion |
j |
-2299968/1805 |
j-invariant |
L |
7.0473208925751 |
L(r)(E,1)/r! |
Ω |
1.6395790866836 |
Real period |
R |
1.074562512683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000082 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720df1 27360r1 54720cq1 |
Quadratic twists by: -4 8 -3 |