Atkin-Lehner |
2- 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
37926bq |
Isogeny class |
Conductor |
37926 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
134784 |
Modular degree for the optimal curve |
Δ |
-210604102343334 = -1 · 2 · 319 · 72 · 432 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 3 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-37463,2886293] |
[a1,a2,a3,a4,a6] |
j |
-162778443933049/5895806454 |
j-invariant |
L |
4.469987206374 |
L(r)(E,1)/r! |
Ω |
0.5587484007912 |
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 |
12642m1 37926bh1 |
Quadratic twists by: -3 -7 |