Atkin-Lehner |
7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
12397g |
Isogeny class |
Conductor |
12397 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
208356379 = 77 · 11 · 23 |
Discriminant |
Eigenvalues |
-1 1 1 7- 11+ 1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-295,1798] |
[a1,a2,a3,a4,a6] |
Generators |
[18:40:1] |
Generators of the group modulo torsion |
j |
24137569/1771 |
j-invariant |
L |
3.44069116578 |
L(r)(E,1)/r! |
Ω |
1.7429166955342 |
Real period |
R |
0.49352490205009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111573bg1 1771d1 |
Quadratic twists by: -3 -7 |