Atkin-Lehner |
2- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
6424a |
Isogeny class |
Conductor |
6424 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28560 |
Modular degree for the optimal curve |
Δ |
-3009721088 = -1 · 28 · 115 · 73 |
Discriminant |
Eigenvalues |
2- -1 0 5 11+ -1 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-383273,91457245] |
[a1,a2,a3,a4,a6] |
j |
-24322575388386688000/11756723 |
j-invariant |
L |
1.7320010130671 |
L(r)(E,1)/r! |
Ω |
0.86600050653354 |
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 |
12848a1 51392d1 57816d1 70664c1 |
Quadratic twists by: -4 8 -3 -11 |