Atkin-Lehner |
3- 5+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
8835h |
Isogeny class |
Conductor |
8835 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3120 |
Modular degree for the optimal curve |
Δ |
-5521875 = -1 · 3 · 55 · 19 · 31 |
Discriminant |
Eigenvalues |
2 3- 5+ 2 1 6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-116,-535] |
[a1,a2,a3,a4,a6] |
j |
-174115016704/5521875 |
j-invariant |
L |
6.5294370639307 |
L(r)(E,1)/r! |
Ω |
0.72549300710341 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26505i1 44175b1 |
Quadratic twists by: -3 5 |