Atkin-Lehner |
7- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
38857d |
Isogeny class |
Conductor |
38857 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
93295657 = 76 · 13 · 61 |
Discriminant |
Eigenvalues |
1 0 -2 7- 4 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-793,8784] |
[a1,a2,a3,a4,a6] |
j |
469097433/793 |
j-invariant |
L |
1.9029173341936 |
L(r)(E,1)/r! |
Ω |
1.902917334163 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
793a1 |
Quadratic twists by: -7 |