Atkin-Lehner |
2- 3+ 29+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
123192f |
Isogeny class |
Conductor |
123192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
11826432 = 28 · 33 · 29 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 -2 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60,68] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:6:1] [1:3:1] |
Generators of the group modulo torsion |
j |
3456000/1711 |
j-invariant |
L |
12.389618179615 |
L(r)(E,1)/r! |
Ω |
2.0045141572321 |
Real period |
R |
1.5452146012068 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002656 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123192b1 |
Quadratic twists by: -3 |