Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18720bc |
Isogeny class |
Conductor |
18720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-265295347200000 = -1 · 212 · 313 · 55 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 13+ 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-403608,98696432] |
[a1,a2,a3,a4,a6] |
Generators |
[364:108:1] |
Generators of the group modulo torsion |
j |
-2435092894982656/88846875 |
j-invariant |
L |
4.2635698762014 |
L(r)(E,1)/r! |
Ω |
0.51629028349337 |
Real period |
R |
2.0645216521183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18720bb1 37440fq1 6240f1 93600bj1 |
Quadratic twists by: -4 8 -3 5 |