Atkin-Lehner |
2+ 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25536p |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
187435057152 = 226 · 3 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 2 0 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2465,-41439] |
[a1,a2,a3,a4,a6] |
j |
6321363049/715008 |
j-invariant |
L |
1.3650392351246 |
L(r)(E,1)/r! |
Ω |
0.68251961756253 |
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 |
25536da1 798f1 76608cj1 |
Quadratic twists by: -4 8 -3 |