Atkin-Lehner |
2+ 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
69192i |
Isogeny class |
Conductor |
69192 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
179345664 = 28 · 36 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 1 -3 -1 5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1767,-28582] |
[a1,a2,a3,a4,a6] |
Generators |
[-3005:232:125] |
Generators of the group modulo torsion |
j |
3402064 |
j-invariant |
L |
6.5365294282446 |
L(r)(E,1)/r! |
Ω |
0.73637337624897 |
Real period |
R |
4.4383254742338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999293 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7688k1 69192d1 |
Quadratic twists by: -3 -31 |