Atkin-Lehner |
2- 3+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
84816j |
Isogeny class |
Conductor |
84816 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
356352 |
Modular degree for the optimal curve |
Δ |
132336800759808 = 228 · 33 · 19 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 2 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14163,338450] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:960:1] |
Generators of the group modulo torsion |
j |
2840964228747/1196621824 |
j-invariant |
L |
9.4545465397009 |
L(r)(E,1)/r! |
Ω |
0.52830459139015 |
Real period |
R |
4.4740035830984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000331 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10602a1 84816k1 |
Quadratic twists by: -4 -3 |