Atkin-Lehner |
2- 3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
118188bk |
Isogeny class |
Conductor |
118188 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-16542537984 = -1 · 28 · 39 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -6 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,609,2198] |
[a1,a2,a3,a4,a6] |
Generators |
[22:162:1] |
Generators of the group modulo torsion |
j |
2731568/1809 |
j-invariant |
L |
8.0634020653957 |
L(r)(E,1)/r! |
Ω |
0.77511506981811 |
Real period |
R |
2.6007112994815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999795351 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39396g1 118188p1 |
Quadratic twists by: -3 -7 |