Atkin-Lehner |
7- 29+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
12383b |
Isogeny class |
Conductor |
12383 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
51072 |
Modular degree for the optimal curve |
Δ |
35531055311563 = 77 · 294 · 61 |
Discriminant |
Eigenvalues |
1 3 0 7- 5 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11977,-412090] |
[a1,a2,a3,a4,a6] |
j |
190015162442267625/35531055311563 |
j-invariant |
L |
6.4717112197452 |
L(r)(E,1)/r! |
Ω |
0.46226508712466 |
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 |
111447f1 86681c1 |
Quadratic twists by: -3 -7 |