Atkin-Lehner |
2- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
8470bc |
Isogeny class |
Conductor |
8470 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
23760 |
Modular degree for the optimal curve |
Δ |
-45390493051750 = -1 · 2 · 53 · 7 · 1110 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 11- -2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-305,324127] |
[a1,a2,a3,a4,a6] |
j |
-121/1750 |
j-invariant |
L |
1.5327031249018 |
L(r)(E,1)/r! |
Ω |
0.51090104163392 |
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 |
67760ck1 76230r1 42350z1 59290dh1 |
Quadratic twists by: -4 -3 5 -7 |