Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15048g |
Isogeny class |
Conductor |
15048 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-50253601609728 = -1 · 211 · 36 · 116 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 11- -1 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46731,-3903194] |
[a1,a2,a3,a4,a6] |
j |
-7559297810066/33659659 |
j-invariant |
L |
0.97387639203961 |
L(r)(E,1)/r! |
Ω |
0.1623127320066 |
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 |
30096e1 120384bb1 1672a1 |
Quadratic twists by: -4 8 -3 |