Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
110544be |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-29726608128 = -1 · 28 · 3 · 77 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 1 -2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,327,-7869] |
[a1,a2,a3,a4,a6] |
Generators |
[642:3185:27] |
Generators of the group modulo torsion |
j |
128000/987 |
j-invariant |
L |
8.0504886484157 |
L(r)(E,1)/r! |
Ω |
0.58477917247947 |
Real period |
R |
3.4416789404645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968154 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55272g1 15792b1 |
Quadratic twists by: -4 -7 |