Atkin-Lehner |
2+ 3- 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
96720ba |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
13927680 = 28 · 33 · 5 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 -2 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,-117] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:3:1] |
Generators of the group modulo torsion |
j |
120472576/54405 |
j-invariant |
L |
6.8808609087145 |
L(r)(E,1)/r! |
Ω |
1.7520217341764 |
Real period |
R |
1.3091277659872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017795 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48360u1 |
Quadratic twists by: -4 |