Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720bw |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
-16750340075520 = -1 · 212 · 316 · 5 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 4 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4692,232544] |
[a1,a2,a3,a4,a6] |
Generators |
[10:432:1] |
Generators of the group modulo torsion |
j |
-3825694144/5609655 |
j-invariant |
L |
5.9312107371316 |
L(r)(E,1)/r! |
Ω |
0.62439395902569 |
Real period |
R |
2.3747870440486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720cg1 27360y1 18240d1 |
Quadratic twists by: -4 8 -3 |