Atkin-Lehner |
2- 3+ 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
123900o |
Isogeny class |
Conductor |
123900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
203520 |
Modular degree for the optimal curve |
Δ |
4336500000000 = 28 · 3 · 59 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 3 5 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4333,-43463] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:250:1] |
Generators of the group modulo torsion |
j |
17997824/8673 |
j-invariant |
L |
6.8728321204873 |
L(r)(E,1)/r! |
Ω |
0.61739054509947 |
Real period |
R |
0.92767214234057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007113 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123900bf1 |
Quadratic twists by: 5 |