Atkin-Lehner |
2- 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
65268c |
Isogeny class |
Conductor |
65268 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
-7463710913904 = -1 · 24 · 37 · 78 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 -2 -1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1029,-132055] |
[a1,a2,a3,a4,a6] |
j |
-1792/111 |
j-invariant |
L |
3.9202270553606 |
L(r)(E,1)/r! |
Ω |
0.32668558766828 |
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 |
21756a1 65268p1 |
Quadratic twists by: -3 -7 |