Atkin-Lehner |
2+ 3- 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
31512f |
Isogeny class |
Conductor |
31512 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
17856 |
Modular degree for the optimal curve |
Δ |
-4090005504 = -1 · 211 · 32 · 133 · 101 |
Discriminant |
Eigenvalues |
2+ 3- -1 4 0 13- 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,344,-1744] |
[a1,a2,a3,a4,a6] |
j |
2191825582/1997073 |
j-invariant |
L |
4.5682828937628 |
L(r)(E,1)/r! |
Ω |
0.76138048229464 |
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 |
63024d1 94536h1 |
Quadratic twists by: -4 -3 |