Atkin-Lehner |
7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12397n |
Isogeny class |
Conductor |
12397 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-21955087 = -1 · 73 · 112 · 232 |
Discriminant |
Eigenvalues |
1 -2 4 7- 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,51,179] |
[a1,a2,a3,a4,a6] |
j |
43986977/64009 |
j-invariant |
L |
2.9102720542539 |
L(r)(E,1)/r! |
Ω |
1.455136027127 |
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 |
111573y1 12397m1 |
Quadratic twists by: -3 -7 |