Atkin-Lehner |
2- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
19264s |
Isogeny class |
Conductor |
19264 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-2085484654231552 = -1 · 226 · 75 · 432 |
Discriminant |
Eigenvalues |
2- 0 4 7- 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7732,2181520] |
[a1,a2,a3,a4,a6] |
j |
195011097399/7955492608 |
j-invariant |
L |
3.5165570505483 |
L(r)(E,1)/r! |
Ω |
0.35165570505483 |
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 |
19264d1 4816d1 |
Quadratic twists by: -4 8 |