Atkin-Lehner |
2+ 3- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79560ba |
Isogeny class |
Conductor |
79560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1441792 |
Modular degree for the optimal curve |
Δ |
5240687467862995200 = 28 · 310 · 52 · 138 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-446007,31821194] |
[a1,a2,a3,a4,a6] |
j |
52575237512036944/28081530070425 |
j-invariant |
L |
3.3872020663709 |
L(r)(E,1)/r! |
Ω |
0.2117001337056 |
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 |
26520p1 |
Quadratic twists by: -3 |