Atkin-Lehner |
2- 3+ 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
127920x |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-32747520 = -1 · 212 · 3 · 5 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -2 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21,285] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:17:1] |
Generators of the group modulo torsion |
j |
-262144/7995 |
j-invariant |
L |
4.2123744265373 |
L(r)(E,1)/r! |
Ω |
1.7339246137096 |
Real period |
R |
2.4293872866697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033111 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7995f1 |
Quadratic twists by: -4 |