Atkin-Lehner |
2- 3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
118188q |
Isogeny class |
Conductor |
118188 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
268050384 = 24 · 36 · 73 · 67 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 2 -7 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1092,-13867] |
[a1,a2,a3,a4,a6] |
j |
35995648/67 |
j-invariant |
L |
1.6612024373371 |
L(r)(E,1)/r! |
Ω |
0.8306010091274 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13132b1 118188t1 |
Quadratic twists by: -3 -7 |