Atkin-Lehner |
2+ 3- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
12654h |
Isogeny class |
Conductor |
12654 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-54762310872 = -1 · 23 · 36 · 193 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 0 5 0 5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1647,-27675] |
[a1,a2,a3,a4,a6] |
j |
-677993136625/75119768 |
j-invariant |
L |
2.2342482212705 |
L(r)(E,1)/r! |
Ω |
0.37237470354508 |
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 |
101232y1 1406h1 |
Quadratic twists by: -4 -3 |